On Oliver's p-group conjecture: II

Details On Oliver's p-group conjecture: II On Oliver's p-group conjecture: II

2009-01-24

arxiv.org/abs/0901.3833v1

Mathematics

Group Theory

12 pages

Scientific paper

Let p be an odd prime and S a finite p-group. B. Oliver's conjecture arises from an open problem in the theory of p-local finite groups. It is the claim that a certain characteristic subgroup X(S) of S always contains the Thompson subgroup. In previous work the first two authors and M. Lilienthal recast Oliver's conjecture as a statement about the representation theory of the factor group S/X(S). We now verify the conjecture for a wide variety of groups S/X(S).

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