On Oliver's p-group conjecture

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

2008-04-17

arxiv.org/abs/0804.2763v2

Mathematics

Group Theory

9 pages; terminology altered to conform to current usage

Scientific paper

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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