On Oliver's p-group conjecture: II

Abstract

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).

12 pages

References in corpus (1)

• On Oliver's p-group conjecture

Cited by in corpus (3)

• On a strong form of Oliver's p-group conjecture
• 2-subnormal quadratic offenders and Oliver's p-group conjecture
• Weak closure and Oliver's p-group conjecture