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arXiv · 0804.2763

On Oliver's p-group conjecture

David J. Green·László Héthelyi·Markus Lilienthal
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Abstract

Let S be a p-group for an odd prime p. Bob Oliver conjectures that a certain characteristic subgroup X(S) always contains the Thompson subgroup J(S). We obtain a reformulation of the conjecture as a statement about modular representations of p-groups. Using this we verify Oliver's conjecture for groups where S/X(S) has nilpotence class at most two.

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David J. Green, László Héthelyi, Markus Lilienthal. 2008-08-14. On Oliver's p-group conjecture. https://doi.org/10.2140/ant.2008.2.969

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