18 citations · 126 across the 25 of their papers we have counts for
20 papers · 1 filter
The quaternion group has ghost number three
Fatma Altunbulak Aksu, David J. Green
We prove that the group algebra of the quaternion group over any field of characteristic two has ghost number three.
Cochain sequences and the Quillen category of a coclass family
Bettina Eick, David J. Green
We introduce the concept of an infinite cochain sequence and initiate a theory of homological algebra for them. We show how these sequences simplify and improve the construction of…
On the Christensen-Wang bounds for the ghost number of a p-group algebra
Fatma Altunbulak Aksu, David J. Green
Christensen and Wang give conjectural upper and lower bounds for the ghost number of the group algebra of a p-group. We apply results of Koshitani and Motose on the nilpotency inde…
The Maschke property for the Sylow p-subgroups of the symmetric group S_p^n
David J. Green, László Héthelyi, Erzsébet Horváth
The Sylow p-subgroups of the symmetric group S_p^n satisfy the appropriate generalization of Maschke's Theorem to the case of a p'-group acting on a (not necessarily abelian) p-gro…
The Ext algebra of the principal block of the Mathieu group M_11
David J. Green, Simon A. King
We complete the calculation of the Ext algebra of the principal 2-block of the Mathieu group M_11, extending work of Benson-Carlson and of Pawloski - and duplicating work of Genera…
The Quillen category of finite p-groups and coclass theory
Bettina Eick, David J. Green
Coclass theory can be used to define infinite families of finite p-groups of a fixed coclass. It is conjectured that the groups in one of these infinite families all have isomorphi…