# On Oliver's p-group conjecture ::II.

Green, David and Héthelyi, László and Mazza, Nadia (2010) On Oliver's p-group conjecture ::II. Mathematische Annalen, 347 (1). pp. 111-122. ISSN 0025-5831

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## 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 and says that a certain characteristic subgroup \$\mathfrak{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/\mathfrak{X}(S)\$. We now verify the conjecture for a wide variety of groups~\$S/\mathfrak{X}(S)\$.

Item Type:
Journal Article
Journal or Publication Title:
Mathematische Annalen
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qa
Subjects:
Departments:
ID Code:
27176
Deposited By:
Deposited On:
07 Oct 2009 13:34
Refereed?:
Yes
Published?:
Published