Authors:

1.
Miles Holloway 
Mathematical Institute, 24-29 St Giles, Oxford, OX1 3LB, UK
2.
Radha Kessar
Department of Mathematics, The Ohio State University, 
231 W 18th Avenue, Columbus OH43210, USA

Short abstract:

We generalize a construction of Benson and
Green to realize a large class of quantum
complete intersections as basic algebras of 
non-principal blocks of certain finite groups. 
The realization arises from an isomorphism 
of a quantum complete ring to a skew group 
ring. We also show that blocks of finite 
groups with normal abelian defect groups,
abelian inertial quotients and, up to
isomorphism, only one simple module have basic 
algebras amongst this class of quantum 
complete intersections. We also study 
the Ext rings and finite $p'$-coverings 
of these quantum complete intersections.

Current Status:
Preprint