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Characters, Commutators and Centers of Sylow Subgroups

Authors :
Navarro, Gabriel
Sambale, Benjamin
Publication Year :
2022

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.<br />Comment: 18 pages, referee's comments incorporated

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2204.04407
Document Type :
Working Paper