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Abstract: Let S be a p-group for an odd prime p. Bob Oliver conjectures that a certaincharacteristic subgroup XS always contains the Thompson subgroup JS. Weobtain a reformulation of the conjecture as a statement about modularrepresentations of p-groups. Using this we verify Oliver-s conjecture forgroups where S-XS has nilpotence class at most two.



Author: David J. Green, László Héthelyi, Markus Lilienthal

Source: https://arxiv.org/



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