On the Automorphisms and Representations of Polyadic Groups

H. Khodabandeh; M. Shahryari

doi:10.1080/00927872.2011.576738

On the Automorphisms and Representations of Polyadic Groups

H. Khodabandeh, M. Shahryari^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

Using a unified method, we determine the structure of automorphisms and representations of arbitrary polyadic groups. More precisely, for a polyadic group (G, f) = der _{θ, b}(G, ·), we obtain a complete description of automorphisms and representations of (G, f) in terms of automorphisms and representations of the binary group (G, ·).

Original language	English
Pages (from-to)	2199-2212
Number of pages	14
Journal	Communications in Algebra
Volume	40
Issue number	6
DOIs	https://doi.org/10.1080/00927872.2011.576738
Publication status	Published - Jun 2012
Externally published	Yes

Keywords

Automorphisms of polyadic groups
Autotopy
Homotopy
Polyadic groups
Polyadic quasi-groups
Representations
Retract group

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2011.576738

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AB - Using a unified method, we determine the structure of automorphisms and representations of arbitrary polyadic groups. More precisely, for a polyadic group (G, f) = der θ, b(G, ·), we obtain a complete description of automorphisms and representations of (G, f) in terms of automorphisms and representations of the binary group (G, ·).

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KW - Autotopy

KW - Homotopy

KW - Polyadic groups

KW - Polyadic quasi-groups

KW - Representations

KW - Retract group

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On the Automorphisms and Representations of Polyadic Groups

Abstract

Keywords

ASJC Scopus subject areas

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