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https://doi.org/10.3336/gm.48.1.08

Commuting automorphisms of some finite groups

S. Fouladi ; Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani Ave., Tehran 1561836314 , Iran
R. Orfi ; Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran

Puni tekst: engleski, pdf (103 KB) str. 91-96 preuzimanja: 259* citiraj
APA 6th Edition
Fouladi, S. i Orfi, R. (2013). Commuting automorphisms of some finite groups. Glasnik matematički, 48 (1), 91-96. https://doi.org/10.3336/gm.48.1.08
MLA 8th Edition
Fouladi, S. i R. Orfi. "Commuting automorphisms of some finite groups." Glasnik matematički, vol. 48, br. 1, 2013, str. 91-96. https://doi.org/10.3336/gm.48.1.08. Citirano 24.10.2021.
Chicago 17th Edition
Fouladi, S. i R. Orfi. "Commuting automorphisms of some finite groups." Glasnik matematički 48, br. 1 (2013): 91-96. https://doi.org/10.3336/gm.48.1.08
Harvard
Fouladi, S., i Orfi, R. (2013). 'Commuting automorphisms of some finite groups', Glasnik matematički, 48(1), str. 91-96. https://doi.org/10.3336/gm.48.1.08
Vancouver
Fouladi S, Orfi R. Commuting automorphisms of some finite groups. Glasnik matematički [Internet]. 2013 [pristupljeno 24.10.2021.];48(1):91-96. https://doi.org/10.3336/gm.48.1.08
IEEE
S. Fouladi i R. Orfi, "Commuting automorphisms of some finite groups", Glasnik matematički, vol.48, br. 1, str. 91-96, 2013. [Online]. https://doi.org/10.3336/gm.48.1.08

Sažetak
Let G be a group. An automorphism α of G is called a commuting automorphism if xxα=xα x for all x G. We denote the set of all commuting automorphisms of G by A(G). Moreover a group G is called an AC-group if the centralizer of every non-central element of G is abelian. In this paper we show that A(G) is a subgroup of the automorphism group of G for all finite AC-groups, p-groups of maximal class, and metacyclic p-groups.

Ključne riječi
Commuting automorphisms; AC-groups; minimal non-abelian p-groups; metacyclic p-groups; p-groups of maximal class

Hrčak ID: 103317

URI
https://hrcak.srce.hr/103317

Posjeta: 511 *