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Covering the set of p-elements in finite groups by Sylow p-subgroups

Maróti, Attila and Martínez, Juan and Moretó, Alexander (2024) Covering the set of p-elements in finite groups by Sylow p-subgroups. JOURNAL OF ALGEBRA, 638. pp. 840-861. ISSN 0021-8693

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Abstract

Let Gp be the set of p-elements of a finite group G. Do we need all the Sylow p-subgroups of G to cover Gp? Although this question does not have an affirmative answer in general, our work indicates that the answer is yes more often than one could perhaps expect.

Item Type: Article
Uncontrolled Keywords: Covering; P-element; simple group; solvable group; Sylow subgroup
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 27 Mar 2024 13:47
Last Modified: 27 Mar 2024 13:47
URI: https://real.mtak.hu/id/eprint/191117

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