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arXiv · 2204.04407

Characters, Commutators and Centers of Sylow Subgroups

Gabriel Navarro·Benjamin Sambale
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Abstract

The character table of a finite group G determines whether |P:P'|=p^2 and whether |P:Z(P)|=p^2, where P is a Sylow p-subgroup of G. To prove the latter, we give a detailed classification of those groups in terms of the generalized Fitting subgroup.

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Gabriel Navarro, Benjamin Sambale. 2022-04-09. Characters, Commutators and Centers of Sylow Subgroups. https://arxiv.org/abs/2204.04407

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