Cohomology of group number 635 of order 128

About the group Ring generators Ring relations Completion information Restriction maps Back to groups of order 128

General information on the group

  • The group has 3 minimal generators and exponent 8.
  • It is non-abelian.
  • It has p-Rank 4.
  • Its center has rank 1.
  • It has 2 conjugacy classes of maximal elementary abelian subgroups, which are of rank 3 and 4, respectively.

Structure of the cohomology ring

General information

  • The cohomology ring is of dimension 4 and depth 2.
  • The depth exceeds the Duflot bound, which is 1.
  • The Poincaré series is
    t6  −  2·t5  +  3·t4  −  3·t3  +  2·t2  −  t  +  1
    (t  −  1)4 · (t2  +  1) · (t4  +  1)
  • The a-invariants are -∞,-∞,-4,-4,-4. They were obtained using the filter regular HSOP of the Benson test.

About the group Ring generators Ring relations Completion information Restriction maps Back to groups of order 128

Ring generators

The cohomology ring has 12 minimal generators of maximal degree 8:

  1. a_1_0, a nilpotent element of degree 1
  2. b_1_1, an element of degree 1
  3. b_1_2, an element of degree 1
  4. b_2_3, an element of degree 2
  5. b_2_4, an element of degree 2
  6. b_2_5, an element of degree 2
  7. b_2_6, an element of degree 2
  8. b_3_11, an element of degree 3
  9. b_5_22, an element of degree 5
  10. b_5_23, an element of degree 5
  11. b_6_34, an element of degree 6
  12. c_8_59, a Duflot regular element of degree 8

About the group Ring generators Ring relations Completion information Restriction maps Back to groups of order 128

Ring relations

There are 32 minimal relations of maximal degree 12:

  1. a_1_02
  2. a_1_0·b_1_1
  3. b_1_1·b_1_2 + a_1_0·b_1_2
  4. b_2_3·a_1_0
  5. b_2_3·b_1_2 + b_2_4·a_1_0
  6. b_2_4·b_1_1 + b_2_3·b_1_2 + b_2_3·b_1_1
  7. b_2_6·b_1_2 + b_2_4·b_1_2 + b_2_6·a_1_0 + b_2_5·a_1_0
  8. b_2_5·b_1_22 + b_2_42 + b_2_32 + b_2_4·a_1_0·b_1_2
  9. b_2_3·b_2_4 + b_2_32 + b_2_5·a_1_0·b_1_2
  10. b_2_6·b_1_12 + b_2_3·b_1_12 + b_2_32
  11. b_1_2·b_3_11 + b_2_4·b_2_6 + b_2_4·b_2_5 + b_2_3·b_2_6 + b_2_3·b_2_5
  12. b_2_4·b_2_6 + b_2_42 + b_2_3·b_2_6 + b_2_3·b_2_4 + a_1_0·b_3_11
  13. b_2_5·b_2_6·a_1_0 + b_2_52·a_1_0 + b_2_4·b_2_5·a_1_0 + b_2_42·a_1_0
  14. b_2_52·b_1_2 + b_2_4·b_3_11 + b_2_4·b_2_5·b_1_2 + b_2_3·b_3_11 + b_2_62·a_1_0
       + b_2_52·a_1_0
  15. b_1_2·b_5_22 + b_2_4·b_2_52 + b_2_42·b_1_22 + b_2_43 + b_2_3·b_2_52 + b_2_33
       + b_2_5·a_1_0·b_3_11 + b_2_4·a_1_0·b_1_23
  16. a_1_0·b_5_22 + b_2_42·a_1_0·b_1_2
  17. b_3_112 + b_1_1·b_5_22 + b_1_13·b_3_11 + b_1_16 + b_2_6·b_1_1·b_3_11 + b_2_63
       + b_2_5·b_1_14 + b_2_53 + b_2_42·b_2_5 + b_2_43 + b_2_3·b_1_1·b_3_11
       + b_2_3·b_1_14 + b_2_3·b_2_5·b_1_12 + b_2_5·a_1_0·b_3_11 + b_2_4·b_2_5·a_1_0·b_1_2
  18. a_1_0·b_5_23 + b_2_4·b_2_5·a_1_0·b_1_2
  19. b_3_112 + b_1_1·b_5_23 + b_1_13·b_3_11 + b_2_6·b_1_1·b_3_11 + b_2_63 + b_2_5·b_1_14
       + b_2_52·b_1_12 + b_2_53 + b_2_42·b_2_5 + b_2_43 + b_2_3·b_1_1·b_3_11
       + b_2_3·b_1_14 + b_2_3·b_2_5·b_1_12 + b_2_3·b_2_5·b_2_6 + b_2_3·b_2_52
       + b_2_32·b_1_12 + b_2_32·b_2_5 + b_2_5·a_1_0·b_3_11 + b_2_4·b_2_5·a_1_0·b_1_2
  20. b_2_4·b_5_22 + b_2_4·b_2_5·b_3_11 + b_2_42·b_3_11 + b_2_43·b_1_2 + b_2_3·b_5_22
       + b_2_3·b_2_5·b_3_11 + b_2_32·b_3_11 + b_2_43·a_1_0
  21. b_2_5·b_2_62·b_1_1 + b_2_52·b_2_6·b_1_1 + b_2_3·b_5_23 + b_2_3·b_5_22 + b_2_3·b_1_15
       + b_2_32·b_2_5·b_1_1 + b_2_33·b_1_1
  22. b_1_22·b_5_23 + b_6_34·b_1_2 + b_2_5·b_2_62·b_1_1 + b_2_52·b_2_6·b_1_1 + b_2_4·b_5_23
       + b_2_4·b_2_5·b_3_11 + b_2_42·b_3_11 + b_2_3·b_5_22 + b_2_3·b_1_15
       + b_2_3·b_2_5·b_3_11 + b_2_32·b_3_11 + b_2_32·b_2_5·b_1_1 + b_2_33·b_1_1
       + b_2_4·a_1_0·b_1_24
  23. b_6_34·a_1_0 + b_2_53·a_1_0 + b_2_43·a_1_0
  24. b_1_14·b_3_11 + b_6_34·b_1_1 + b_2_5·b_1_15 + b_2_52·b_2_6·b_1_1 + b_2_3·b_5_22
       + b_2_3·b_1_12·b_3_11 + b_2_3·b_1_15 + b_2_3·b_2_62·b_1_1 + b_2_3·b_2_5·b_2_6·b_1_1
       + b_2_32·b_1_13 + b_2_32·b_2_6·b_1_1 + b_2_32·b_2_5·b_1_1 + b_2_42·b_2_5·a_1_0
       + b_2_43·a_1_0
  25. b_2_6·b_1_1·b_5_22 + b_2_3·b_1_1·b_5_22 + b_2_3·b_1_13·b_3_11 + b_2_3·b_6_34
       + b_2_3·b_2_5·b_1_14 + b_2_3·b_2_52·b_2_6 + b_2_32·b_1_1·b_3_11 + b_2_32·b_1_14
       + b_2_32·b_2_62 + b_2_32·b_2_5·b_2_6 + b_2_33·b_1_12 + b_2_33·b_2_6
       + b_2_33·b_2_5
  26. b_2_6·b_1_1·b_5_22 + b_2_5·b_1_2·b_5_23 + b_2_4·b_1_2·b_5_23 + b_2_4·b_6_34
       + b_2_4·b_2_53 + b_2_43·b_2_5 + b_2_3·b_1_1·b_5_22 + b_2_3·b_1_13·b_3_11
       + b_2_3·b_2_5·b_1_14 + b_2_3·b_2_52·b_2_6 + b_2_3·b_2_53 + b_2_32·b_1_1·b_3_11
       + b_2_32·b_1_14 + b_2_32·b_2_62 + b_2_32·b_2_5·b_2_6 + b_2_33·b_1_12
       + b_2_33·b_2_6
  27. b_5_232 + b_5_222 + b_1_110 + b_2_52·b_2_63 + b_2_54·b_1_12 + b_2_54·b_2_6
       + b_2_4·b_2_54 + b_2_43·b_2_52 + b_2_44·b_1_22 + b_2_44·b_2_5
       + b_2_3·b_2_52·b_2_62 + b_2_32·b_2_52·b_2_6 + b_2_34·b_1_12 + b_2_34·b_2_5
       + b_2_53·a_1_0·b_3_11 + b_2_43·b_2_5·a_1_0·b_1_2 + b_2_44·a_1_0·b_1_2
  28. b_5_22·b_5_23 + b_5_222 + b_1_110 + b_6_34·b_1_1·b_3_11 + b_6_34·b_1_14
       + b_2_5·b_6_34·b_1_12 + b_2_5·b_2_6·b_6_34 + b_2_52·b_1_1·b_5_22
       + b_2_52·b_1_13·b_3_11 + b_2_52·b_1_16 + b_2_52·b_6_34
       + b_2_52·b_2_6·b_1_1·b_3_11 + b_2_53·b_2_62 + b_2_54·b_2_6 + b_2_42·b_1_2·b_5_23
       + b_2_43·b_2_52 + b_2_44·b_1_22 + b_2_44·b_2_5 + b_2_3·b_3_11·b_5_22
       + b_2_3·b_1_18 + b_2_3·b_6_34·b_1_12 + b_2_3·b_2_62·b_1_1·b_3_11
       + b_2_3·b_2_5·b_1_1·b_5_22 + b_2_3·b_2_5·b_1_13·b_3_11 + b_2_3·b_2_5·b_6_34
       + b_2_3·b_2_5·b_2_63 + b_2_3·b_2_52·b_1_1·b_3_11 + b_2_32·b_1_13·b_3_11
       + b_2_32·b_1_16 + b_2_32·b_2_6·b_1_1·b_3_11 + b_2_32·b_2_5·b_1_1·b_3_11
       + b_2_32·b_2_5·b_1_14 + b_2_32·b_2_52·b_2_6 + b_2_33·b_1_1·b_3_11
       + b_2_33·b_1_14 + b_2_33·b_2_62 + b_2_33·b_2_5·b_1_12 + b_2_34·b_2_6
       + b_2_34·b_2_5
  29. b_5_222 + b_1_110 + b_2_5·b_1_13·b_5_22 + b_2_5·b_6_34·b_1_12
       + b_2_52·b_1_1·b_5_22 + b_2_52·b_1_13·b_3_11 + b_2_52·b_1_16 + b_2_53·b_2_62
       + b_2_54·b_1_12 + b_2_55 + b_2_42·b_2_53 + b_2_44·b_1_22 + b_2_44·b_2_5
       + b_2_3·b_6_34·b_1_12 + b_2_3·b_2_5·b_1_16 + b_2_3·b_2_5·b_6_34
       + b_2_3·b_2_5·b_2_6·b_1_1·b_3_11 + b_2_3·b_2_52·b_1_1·b_3_11
       + b_2_3·b_2_53·b_1_12 + b_2_3·b_2_53·b_2_6 + b_2_32·b_2_63
       + b_2_32·b_2_5·b_2_62 + b_2_32·b_2_52·b_2_6 + b_2_33·b_1_14 + b_2_33·b_2_62
       + b_2_34·b_2_6 + b_2_34·b_2_5 + b_2_35 + b_2_43·b_2_5·a_1_0·b_1_2
       + b_2_44·a_1_0·b_1_2 + c_8_59·b_1_12
  30. b_6_34·b_5_23 + b_6_34·b_5_22 + b_6_34·b_1_15 + b_2_5·b_2_62·b_5_22
       + b_2_52·b_6_34·b_1_1 + b_2_52·b_2_6·b_5_23 + b_2_54·b_2_6·b_1_1
       + b_2_4·b_2_53·b_3_11 + b_2_42·b_6_34·b_1_2 + b_2_43·b_5_23 + b_2_44·b_2_5·b_1_2
       + b_2_3·b_2_62·b_5_23 + b_2_3·b_2_62·b_5_22 + b_2_3·b_2_5·b_2_6·b_5_23
       + b_2_3·b_2_5·b_2_6·b_5_22 + b_2_3·b_2_52·b_5_22 + b_2_3·b_2_52·b_1_12·b_3_11
       + b_2_3·b_2_52·b_1_15 + b_2_3·b_2_53·b_3_11 + b_2_3·b_2_53·b_1_13
       + b_2_32·b_6_34·b_1_1 + b_2_32·b_2_6·b_5_23 + b_2_32·b_2_6·b_5_22
       + b_2_32·b_2_5·b_5_22 + b_2_32·b_2_5·b_1_15 + b_2_32·b_2_5·b_2_6·b_3_11
       + b_2_32·b_2_52·b_3_11 + b_2_32·b_2_53·b_1_1 + b_2_33·b_5_23
       + b_2_33·b_2_62·b_1_1 + b_2_33·b_2_5·b_1_13 + b_2_33·b_2_52·b_1_1
       + b_2_34·b_1_13 + b_2_34·b_2_6·b_1_1 + b_2_35·b_1_1 + b_2_44·b_2_5·a_1_0
  31. b_1_13·b_3_11·b_5_22 + b_6_34·b_5_23 + b_6_34·b_1_15 + b_2_5·b_1_14·b_5_22
       + b_2_5·b_2_62·b_5_22 + b_2_52·b_6_34·b_1_1 + b_2_53·b_5_23 + b_2_53·b_5_22
       + b_2_53·b_1_15 + b_2_55·b_1_1 + b_2_4·b_2_53·b_3_11 + b_2_42·b_2_5·b_5_23
       + b_2_42·b_2_52·b_3_11 + b_2_44·b_3_11 + b_2_3·b_1_1·b_3_11·b_5_22
       + b_2_3·b_1_14·b_5_22 + b_2_3·b_1_19 + b_2_3·b_2_62·b_5_23 + b_2_3·b_2_64·b_1_1
       + b_2_3·b_2_5·b_1_12·b_5_22 + b_2_3·b_2_5·b_6_34·b_1_1 + b_2_3·b_2_5·b_2_6·b_5_23
       + b_2_3·b_2_5·b_2_6·b_5_22 + b_2_3·b_2_52·b_5_23 + b_2_3·b_2_52·b_5_22
       + b_2_3·b_2_53·b_3_11 + b_2_3·b_2_53·b_1_13 + b_2_32·b_1_12·b_5_22
       + b_2_32·b_2_6·b_5_23 + b_2_32·b_2_5·b_5_23 + b_2_32·b_2_5·b_5_22
       + b_2_32·b_2_5·b_1_12·b_3_11 + b_2_32·b_2_52·b_3_11 + b_2_32·b_2_52·b_2_6·b_1_1
       + b_2_32·b_2_53·b_1_1 + b_2_33·b_5_23 + b_2_33·b_5_22 + b_2_33·b_1_15
       + b_2_33·b_2_62·b_1_1 + b_2_33·b_2_5·b_3_11 + b_2_33·b_2_5·b_2_6·b_1_1
       + b_2_33·b_2_52·b_1_1 + b_2_34·b_3_11 + b_2_34·b_2_6·b_1_1 + b_2_35·b_1_1
       + b_2_44·b_2_5·a_1_0 + b_2_3·c_8_59·b_1_1
  32. b_6_34·b_1_13·b_3_11 + b_6_342 + b_2_5·b_6_34·b_1_14 + b_2_53·b_2_63
       + b_2_54·b_2_62 + b_2_55·b_2_6 + b_2_4·b_2_55 + b_2_43·b_2_53 + b_2_44·b_2_52
       + b_2_3·b_1_12·b_3_11·b_5_22 + b_2_3·b_6_34·b_1_1·b_3_11 + b_2_3·b_6_34·b_1_14
       + b_2_3·b_2_5·b_1_13·b_5_22 + b_2_3·b_2_5·b_2_6·b_6_34 + b_2_3·b_2_52·b_6_34
       + b_2_3·b_2_52·b_2_6·b_1_1·b_3_11 + b_2_3·b_2_54·b_2_6 + b_2_32·b_3_11·b_5_23
       + b_2_32·b_1_13·b_5_22 + b_2_32·b_1_18 + b_2_32·b_2_62·b_1_1·b_3_11
       + b_2_32·b_2_5·b_1_1·b_5_22 + b_2_32·b_2_5·b_1_16 + b_2_32·b_2_5·b_2_63
       + b_2_32·b_2_52·b_1_14 + b_2_32·b_2_52·b_2_62 + b_2_32·b_2_53·b_1_12
       + b_2_32·b_2_53·b_2_6 + b_2_32·b_2_54 + b_2_33·b_1_13·b_3_11 + b_2_33·b_1_16
       + b_2_33·b_6_34 + b_2_33·b_2_5·b_1_1·b_3_11 + b_2_33·b_2_5·b_1_14
       + b_2_33·b_2_5·b_2_62 + b_2_33·b_2_52·b_1_12 + b_2_34·b_1_1·b_3_11
       + b_2_34·b_1_14 + b_2_34·b_2_62 + b_2_35·b_2_5 + b_2_54·a_1_0·b_3_11
       + b_2_45·a_1_0·b_1_2 + b_2_32·c_8_59

About the group Ring generators Ring relations Completion information Restriction maps Back to groups of order 128

Data used for Benson′s test

  • Benson′s completion test succeeded in degree 17.
  • However, the last relation was already found in degree 12 and the last generator in degree 8.
  • The following is a filter regular homogeneous system of parameters:
    1. c_8_59, a Duflot regular element of degree 8
    2. b_1_24 + b_1_14 + b_2_62 + b_2_5·b_2_6 + b_2_52 + b_2_4·b_2_5 + b_2_3·b_2_5, an element of degree 4
    3. b_1_2·b_5_23 + b_2_5·b_2_62 + b_2_52·b_1_12 + b_2_52·b_2_6 + b_2_42·b_1_22
         + b_2_3·b_2_5·b_1_12 + b_2_32·b_1_12 + b_2_32·b_2_6 + b_2_32·b_2_5 + b_2_33, an element of degree 6
    4. b_2_3, an element of degree 2
  • The Raw Filter Degree Type of that HSOP is [-1, -1, 8, 14, 16].
  • The filter degree type of any filter regular HSOP is [-1, -2, -3, -4, -4].

About the group Ring generators Ring relations Completion information Restriction maps Back to groups of order 128

Restriction maps

Restriction map to the greatest central el. ab. subgp., which is of rank 1

  1. a_1_0 → 0, an element of degree 1
  2. b_1_1 → 0, an element of degree 1
  3. b_1_2 → 0, an element of degree 1
  4. b_2_3 → 0, an element of degree 2
  5. b_2_4 → 0, an element of degree 2
  6. b_2_5 → 0, an element of degree 2
  7. b_2_6 → 0, an element of degree 2
  8. b_3_11 → 0, an element of degree 3
  9. b_5_22 → 0, an element of degree 5
  10. b_5_23 → 0, an element of degree 5
  11. b_6_34 → 0, an element of degree 6
  12. c_8_59 → c_1_08, an element of degree 8

Restriction map to a maximal el. ab. subgp. of rank 3

  1. a_1_0 → 0, an element of degree 1
  2. b_1_1 → 0, an element of degree 1
  3. b_1_2 → c_1_1, an element of degree 1
  4. b_2_3 → 0, an element of degree 2
  5. b_2_4 → c_1_1·c_1_2, an element of degree 2
  6. b_2_5 → c_1_22, an element of degree 2
  7. b_2_6 → c_1_1·c_1_2, an element of degree 2
  8. b_3_11 → c_1_23 + c_1_1·c_1_22, an element of degree 3
  9. b_5_22 → c_1_25 + c_1_12·c_1_23 + c_1_13·c_1_22, an element of degree 5
  10. b_5_23 → c_1_25, an element of degree 5
  11. b_6_34 → c_1_1·c_1_25 + c_1_12·c_1_24, an element of degree 6
  12. c_8_59 → c_1_28 + c_1_14·c_1_24 + c_1_15·c_1_23 + c_1_02·c_1_12·c_1_24
       + c_1_02·c_1_14·c_1_22 + c_1_04·c_1_24 + c_1_04·c_1_12·c_1_22
       + c_1_04·c_1_14 + c_1_08, an element of degree 8

Restriction map to a maximal el. ab. subgp. of rank 4

  1. a_1_0 → 0, an element of degree 1
  2. b_1_1 → c_1_2, an element of degree 1
  3. b_1_2 → 0, an element of degree 1
  4. b_2_3 → c_1_1·c_1_2, an element of degree 2
  5. b_2_4 → c_1_1·c_1_2, an element of degree 2
  6. b_2_5 → c_1_32 + c_1_2·c_1_3 + c_1_1·c_1_2 + c_1_12, an element of degree 2
  7. b_2_6 → c_1_1·c_1_2 + c_1_12, an element of degree 2
  8. b_3_11 → c_1_33 + c_1_22·c_1_3 + c_1_1·c_1_32 + c_1_12·c_1_3 + c_1_12·c_1_2 + c_1_0·c_1_22
       + c_1_02·c_1_2, an element of degree 3
  9. b_5_22 → c_1_35 + c_1_2·c_1_34 + c_1_25 + c_1_1·c_1_34 + c_1_1·c_1_22·c_1_32
       + c_1_1·c_1_23·c_1_3 + c_1_12·c_1_33 + c_1_12·c_1_2·c_1_32 + c_1_12·c_1_23
       + c_1_13·c_1_32 + c_1_13·c_1_22 + c_1_14·c_1_2 + c_1_0·c_1_24
       + c_1_0·c_1_12·c_1_22 + c_1_02·c_1_12·c_1_2 + c_1_04·c_1_2, an element of degree 5
  10. b_5_23 → c_1_35 + c_1_23·c_1_32 + c_1_1·c_1_23·c_1_3 + c_1_12·c_1_33
       + c_1_12·c_1_2·c_1_32 + c_1_12·c_1_23 + c_1_13·c_1_2·c_1_3 + c_1_14·c_1_2
       + c_1_0·c_1_24 + c_1_0·c_1_12·c_1_22 + c_1_02·c_1_12·c_1_2 + c_1_04·c_1_2, an element of degree 5
  11. b_6_34 → c_1_23·c_1_33 + c_1_24·c_1_32 + c_1_1·c_1_35 + c_1_1·c_1_22·c_1_33
       + c_1_1·c_1_24·c_1_3 + c_1_1·c_1_25 + c_1_12·c_1_22·c_1_32 + c_1_12·c_1_24
       + c_1_13·c_1_33 + c_1_13·c_1_23 + c_1_14·c_1_32 + c_1_16 + c_1_0·c_1_25
       + c_1_0·c_1_13·c_1_22 + c_1_02·c_1_24 + c_1_02·c_1_1·c_1_23
       + c_1_02·c_1_13·c_1_2 + c_1_04·c_1_1·c_1_2, an element of degree 6
  12. c_8_59 → c_1_38 + c_1_2·c_1_37 + c_1_23·c_1_35 + c_1_24·c_1_34 + c_1_26·c_1_32
       + c_1_27·c_1_3 + c_1_1·c_1_23·c_1_34 + c_1_1·c_1_24·c_1_33 + c_1_1·c_1_27
       + c_1_12·c_1_23·c_1_33 + c_1_12·c_1_25·c_1_3 + c_1_13·c_1_23·c_1_32
       + c_1_13·c_1_25 + c_1_14·c_1_23·c_1_3 + c_1_15·c_1_2·c_1_32 + c_1_15·c_1_23
       + c_1_16·c_1_2·c_1_3 + c_1_17·c_1_2 + c_1_18 + c_1_0·c_1_1·c_1_22·c_1_34
       + c_1_0·c_1_1·c_1_25·c_1_3 + c_1_0·c_1_1·c_1_26 + c_1_0·c_1_12·c_1_2·c_1_34
       + c_1_0·c_1_12·c_1_23·c_1_32 + c_1_0·c_1_12·c_1_25
       + c_1_0·c_1_14·c_1_2·c_1_32 + c_1_0·c_1_14·c_1_22·c_1_3
       + c_1_02·c_1_22·c_1_34 + c_1_02·c_1_25·c_1_3 + c_1_02·c_1_26
       + c_1_02·c_1_1·c_1_2·c_1_34 + c_1_02·c_1_1·c_1_23·c_1_32
       + c_1_02·c_1_12·c_1_34 + c_1_02·c_1_12·c_1_23·c_1_3 + c_1_02·c_1_12·c_1_24
       + c_1_02·c_1_14·c_1_32 + c_1_02·c_1_14·c_1_2·c_1_3 + c_1_02·c_1_14·c_1_22
       + c_1_04·c_1_34 + c_1_04·c_1_23·c_1_3 + c_1_04·c_1_1·c_1_2·c_1_32
       + c_1_04·c_1_1·c_1_22·c_1_3 + c_1_04·c_1_1·c_1_23 + c_1_04·c_1_12·c_1_32
       + c_1_04·c_1_12·c_1_2·c_1_3 + c_1_04·c_1_14 + c_1_08, an element of degree 8

About the group Ring generators Ring relations Completion information Restriction maps Back to groups of order 128


Simon A. King David J. Green
Fakultät für Mathematik und Informatik Fakultät für Mathematik und Informatik
Friedrich-Schiller-Universität Jena Friedrich-Schiller-Universität Jena
Ernst-Abbe-Platz 2 Ernst-Abbe-Platz 2
D-07743 Jena D-07743 Jena
Germany Germany
E-mail: simon dot king at uni hyphen jena dot de
Tel: +49 (0)3641 9-46184
Fax: +49 (0)3641 9-46162
Office: Zi. 3524, Ernst-Abbe-Platz 2
E-mail: david dot green at uni hyphen jena dot de
Tel: +49 3641 9-46166
Fax: +49 3641 9-46162
Office: Zi 3512, Ernst-Abbe-Platz 2

Last change: 25.08.2009