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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Citation Formats

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.