ON A STRONG FORM OF OLIVER’S p-GROUP CONJECTURE
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چکیده
We introduce a strong form of Oliver’s p-group conjecture and derive a reformulation in terms of the modular representation theory of a quotient group. The Sylow p-subgroups of the symmetric group Sn and of the general linear group GLn(Fq) satisfy both the strong conjecture and its reformulation.
منابع مشابه
ON OLIVER’S p-GROUP CONJECTURE: II
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...
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تاریخ انتشار 2010