Conditions for Sylow 2-subgroups of the Fixed Point Subgroup Implying Solubility
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Title
Conditions for Sylow 2-subgroups of the Fixed Point Subgroup Implying SolubilityDate
2018Publisher
Cambridge University PressISSN
0013-0915; 1464-3839Bibliographic citation
Beltrán, A., & Shao, C. (n.d.). Conditions for Sylow 2-subgroups of the Fixed Point Subgroup Implying Solubility. Proceedings of the Edinburgh Mathematical Society, 1-10. doi:10.1017/S0013091518000251Type
info:eu-repo/semantics/articlePublisher version
https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematica ...Version
info:eu-repo/semantics/submittedVersionSubject
Abstract
Let A and G be finite groups and suppose that A acts via automorphisms
on G with (|A|, |G|) = 1. We study how certain conditions on the
Sylow 2-subgroups of the fixed point subgroup of the action, CG(A), may
imply ... [+]
Let A and G be finite groups and suppose that A acts via automorphisms
on G with (|A|, |G|) = 1. We study how certain conditions on the
Sylow 2-subgroups of the fixed point subgroup of the action, CG(A), may
imply the non-simplicity or solubility of G. [-]
Is part of
Proceedings of the Edinburgh Mathematical Society, September 2018.Investigation project
PROMETEOII/2015/011; P11B2015-77; No. 11301218; No. ZR2014AM020Rights
© Edinburgh Mathematical Society 2018
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- MAT_Articles [764]