On commutator subgroups of Sylow 2-subgroups of the alternating group, and the commutator width in wreath products

On commutator subgroups of Sylow 2-subgroups of the alternating group, and the commutator width in wreath products

We find the size of a minimal generating set for the commutator subgroup of Sylow 2-subgroups of alternating group and investigate the structure of the commutator subgroup of Sylow 2-subgroups of the alternating group A 2 k . This work continues previous investigations of the author (Skuratovskii in...

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Veröffentlicht in:European journal of mathematics 2021-03, Vol.7 (1), p.353-373
1. Verfasser: Skuratovskii, Ruslan V.
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Algebraic Geometry
Commutators
Mathematics
Mathematics and Statistics
Research Article
Subgroups
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description We find the size of a minimal generating set for the commutator subgroup of Sylow 2-subgroups of alternating group and investigate the structure of the commutator subgroup of Sylow 2-subgroups of the alternating group A 2 k . This work continues previous investigations of the author (Skuratovskii in Cybern Syst Anal 45(1):25–37, 2009; ROMAI J 13(1):117–139, 2017), where minimal generating sets of Sylow 2-subgroups of alternating groups were found.
doi_str_mv 10.1007/s40879-020-00418-9
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Commutators
Mathematics
Mathematics and Statistics
Research Article
Subgroups
title On commutator subgroups of Sylow 2-subgroups of the alternating group, and the commutator width in wreath products
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