David J. Green: Mathematical Publications

Refereed publications

1. D. J. Green, L. Héthelyi and E. Horváth. The Maschke property for the Sylow p-subgroups of the symmetric group S_p^n.
   Int. J. Group Theory 7 (2018), 41–64.    arXiv:1412.6176 [math.GR]

2. B. Eick and D. J. Green. Cochain sequences and the Quillen category of a coclass family.
   J. Aust. Math. Soc. 102 (2017), 185–204.    arXiv:1505.01701 [math.GR]

3. F. Altunbulak Aksu and D. J. Green. The quaternion group has ghost number three.
   J. Algebra 469 (2017), 77–83.    arXiv:1510.09078 [math.GR]

4. F. Altunbulak Aksu and D. J. Green. On the Christensen–Wang bounds for the ghost number of a p-group algebra.
   J. Group Theory 19 (2016), 609–615.    arXiv:1502.05727 [math.GR]

5. B. Eick and D. J. Green. The Quillen categories of p-groups and coclass theory.
   Israel J. Math. 206 (2015), 183–212.    arXiv:1310.0844 [math.GR]

6. D. J. Green and J. Lynd. Weak closure and Oliver's p-group conjecture.
   Israel J. Math. 197 (2013), 497–507.    arXiv:1112.2279 [math.GR]

7. D. J. Green, L. Héthelyi and N. Mazza. On a strong form of Oliver's p-group conjecture.
   J. Algebra 342 (2011), 1–15.    arXiv:1003.1904 [math.GR]

8. S. A. King, D. J. Green and G. Ellis. The Mod-2 Cohomology Ring of the Third Conway Group is Cohen-Macaulay.
   Algebr. Geom. Topol. 11 (2011), 719–734.    arXiv:1005.2472 [math.GR]

9. D. J. Green and S. A. King. The computation of the cohomology rings of all groups of order 128.
   J. Algebra 325 (2011), 352–363.    arXiv:1001.2577 [math.GR]     (supersedes arXiv:0710.2311)

10. D. J. Green, L. Héthelyi and N. Mazza. On Oliver's p-group conjecture: II.
    Math. Ann. 347 (2010), 111–122.    arXiv:0901.3833 [math.GR]

11. F. Altunbulak Aksu and D. J. Green. Essential cohomology for elementary abelian p-groups.
    J. Pure Appl. Algebra 213 (2009), 2238–2243.    arXiv:0809.4425 [math.GR]

12. D. J. Green, L. Héthelyi and M. Lilienthal. On Oliver's p-group conjecture.
    Algebra Number Theory 2 (2008), 969–977.     arXiv:0804.2763 [math.GR]     GAP code to test the matrices

13. D. J. Green. The essential ideal is a Cohen-Macaulay module.
    Proc. Amer. Math. Soc. 133 (2005), 3191–3197.     arXiv:math/0402434 [math.GR]

14. D. J. Green. The essential ideal in group cohomology does not always square to zero.
    J. Pure Appl. Algebra 193 (2004), 129–139.     arXiv:math/0302336 [math.GR]

15. D. J. Green. Gröbner Bases and the Computation of Group Cohomology.
    Lecture Notes in Mathematics, vol. 1828, Springer-Verlag, 2003. xii+138pp. ISBN: 3-540-20339-7.
    Entry in publisher's online catalogue

16. D. J. Green. On Carlson's depth conjecture in group cohomology.
    Math. Z. 244 (2003), 711–723.     arXiv:math/0206127 [math.AT]

17. D. J. Green, J. R. Hunton and B. Schuster. Chromatic characteristic classes in ordinary group cohomology.
    Topology 42 (2003), 243–263.     arXiv:math/0109019 [math.AT]

18. D. J. Green, I. J. Leary and B. Schuster. The subring of group cohomology constructed by permutation representations.
    Proc. Edinburgh Math. Soc. 45 (2002), 241–253.     Preprint

19. D. J. Green and P. A. Minh. Almost all extraspecial p-groups are Swan groups.
    Bull. Austral. Math. Soc. 62 (2000), 149–154.     arXiv:math/9911083 [math.AT]

20. D. J. Green and I. J. Leary. The spectrum of the Chern subring.
    Comm. Math. Helv. 73 (1998), 406–426.     arXiv:1210.6579 [math.GR]

21. D. J. Green. Chern classes and the extraspecial p-group of order p^5 and exponent p.
    Comm. Algebra 26 (1998), 181–196.     Preprint.

22. D. J. Green and P. A. Minh. Transfer and Chern classes for extraspecial p-groups.
    Proc. Sympos. Pure Math. 63 (1998), 245–255.     arXiv:0809.2920 [math.GR]

23. D. J. Green. The 3-local cohomology of the Mathieu group M_24.
    Glasgow Math. J. 38 (1996), 69–75.     Preprint.

24. D. J. Green and I. J. Leary. Chern classes and extraspecial groups.
    Manuscripta Math. 88 (1995), 73–84.     arXiv:0711.5013 [math.GR]

25. M. Gerstenhaber and D. J. Green. A group-theoretic consequence of the Donald-Flanigan Conjecture.
    J. Algebra 166 (1994), 356–363. Preprint

26. D. J. Green. On the cohomology of the sporadic simple group J_4.
    Math. Proc. Cambridge Philos. Soc. 113 (1993), 253–266.    Preprint.

Other works

• D. J. Green and S. A. King. The Ext algebra of the principal 2-block of the Mathieu group M_11.
  Preprint (2013), not scheduled for publication.    arXiv:1311.0025 [math.GR]

• D. J. Green. Gröbner bases for p-group algebras.
  Technical report (1999), not intended for publication.     arXiv:0910.1699 [math.AT]

• D. J. Green. Constructing Projective Resolutions for p-groups.
  Vorlesungen Fachbereich Math. Univ. Essen 24 (1997). iv+55pp.

• D. J. Green. On the cohomology of certain finite simple groups. Ph.D. thesis, Univ. of Cambridge, 1992.