Characters, commutators and centers of Sylow subgroups
Copyright policy )Characters, commutators and centers of Sylow subgroups
The character table of a finite group G G determines whether | P : P ′ | = p 2 |P:P’|=p^2 and whether | P : Z ( P ) | = p 2 |P:\mathbf {Z}(P)|=p^2 , where P P is a Sylow p p -subgroup of G G . To prove the latter, we give a detailed classification of those groups in terms of the generalized Fitting subgroup.
- University of Valencia Spain
- University of Hannover Germany
character table, Ordinary representations and characters, derived subgroup, center, Modular representations and characters, FOS: Mathematics, Group Theory (math.GR), Sylow subgroup, Representation Theory (math.RT), Mathematics - Group Theory, Mathematics - Representation Theory
character table, Ordinary representations and characters, derived subgroup, center, Modular representations and characters, FOS: Mathematics, Group Theory (math.GR), Sylow subgroup, Representation Theory (math.RT), Mathematics - Group Theory, Mathematics - Representation Theory
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