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Algebra i logika, 2013, Volume 52, Number 5, Pages 582–588 (Mi al604)  
This article is cited in 2 scientific papers (total in 2 papers)

Groups acting on groups

M. Deaconescua, G. L. Wallsb

a Dep. Math., Kuwait Univ., P. O. Box 5969, Safat 13060, Kuwait
b Dep. Math., Southeastern Louisiana Univ., Hammond, LA 70403, USA
Full-text PDF (124 kB) Citations (2)
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Abstract: Combinatorial methods are used to give a characterization of finite groups $G$ with $\mathrm{Aut}(G)$ Abelian and to show that if $G$ is a finite group and $\alpha$ is an automorphism of $G$, then the number of fixed points of $\alpha$ in $G$ is a multiple of the number of fixed points of $\alpha$ in $G/Z(G)$.
Keywords: finite groups, automorphisms, fixed points, orbits, Abelian automorphism groups.
Received: 21.07.2013
English version:
Algebra and Logic, 2013, Volume 52, Issue 5, Pages 387–391
DOI: https://doi.org/10.1007/s10469-013-9250-9
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: M. Deaconescu, G. L. Walls, “Groups acting on groups”, Algebra Logika, 52:5 (2013), 582–588; Algebra and Logic, 52:5 (2013), 387–391
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    References:53
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