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A sufficient condition for fixed points of a coprime action to have a normal complement
Date
2019-01-01
Author
Kızmaz, Muhammet Yasir
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Let A be a finite group acting on a finite group G via automorphisms. Assume that (|A|,|G|)=1. We prove that if CG(A) is a Hall -subgroup of G, then G has a normal -complement.
Subject Keywords
Normal complement
,
Coprime action
URI
https://hdl.handle.net/11511/56894
Journal
ARCHIV DER MATHEMATIK
DOI
https://doi.org/10.1007/s00013-018-1209-6
Collections
Department of Mathematics, Article
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M. Y. Kızmaz, “A sufficient condition for fixed points of a coprime action to have a normal complement,”
ARCHIV DER MATHEMATIK
, pp. 1–3, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56894.