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Bounded Complexes of Permutation Modules by Benson, David J.; Carlson, Jon F. is a scholarly article available to read on EtoBox.

What is Bounded Complexes of Permutation Modules about?

Let $k$ be a field of characteristic $p > 0$. For $G$ an elementary abelian $p$-group, there exist collections of permutation module such that if $C^*$ is any exact bounded complex whose terms are sums of copies of modules from the collection, then $C^*$ is contractible. A consequence is that if $G$ is any finite group whose Sylow $p$-subgroups are not cyclic or quaternion, and if $C^*$ is a bounded exact complex such that each $C^i$ is direct sum of one dimensional modules and projective modules, then $C^*$ is contractible.

Author

Benson, David J.; Carlson, Jon F.

Published

2020

Language

EN