Polyadic groups and automorphisms of cyclic extensions

Mohammad Shahryari

Polyadic groups and automorphisms of cyclic extensions

^*Corresponding author for this work

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

Abstract

We show that for any n-ary group (G, f), the group Aut(G, f) can be embedded in Aut(ℤ_n-1 ⋉ G) and so we can obtain a class of interesting automorphisms of cyclic extensions.

Original language	English
Pages (from-to)	275-281
Number of pages	7
Journal	Quasigroups and Related Systems
Volume	20
Issue number	2
Publication status	Published - 2012
Externally published	Yes

Keywords

Covering group
Cyclic extensions
Polyadic group
Semi-direct product

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

Cite this

@article{4c2c43a8c46944e98fc69d7263690bbb,

title = "Polyadic groups and automorphisms of cyclic extensions",

abstract = "We show that for any n-ary group (G, f), the group Aut(G, f) can be embedded in Aut(ℤn-1 ⋉ G) and so we can obtain a class of interesting automorphisms of cyclic extensions.",

keywords = "Covering group, Cyclic extensions, Polyadic group, Semi-direct product",

author = "Mohammad Shahryari",

year = "2012",

language = "English",

volume = "20",

pages = "275--281",

journal = "Quasigroups and Related Systems",

issn = "1561-2848",

publisher = "Institute of Mathematics at the Academy of Sciences of Moldova",

number = "2",

}

TY - JOUR

T1 - Polyadic groups and automorphisms of cyclic extensions

AU - Shahryari, Mohammad

PY - 2012

Y1 - 2012

N2 - We show that for any n-ary group (G, f), the group Aut(G, f) can be embedded in Aut(ℤn-1 ⋉ G) and so we can obtain a class of interesting automorphisms of cyclic extensions.

AB - We show that for any n-ary group (G, f), the group Aut(G, f) can be embedded in Aut(ℤn-1 ⋉ G) and so we can obtain a class of interesting automorphisms of cyclic extensions.

KW - Covering group

KW - Cyclic extensions

KW - Polyadic group

KW - Semi-direct product

UR - http://www.scopus.com/inward/record.url?scp=84873176257&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84873176257&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84873176257

SN - 1561-2848

VL - 20

SP - 275

EP - 281

JO - Quasigroups and Related Systems

JF - Quasigroups and Related Systems

IS - 2

ER -

Polyadic groups and automorphisms of cyclic extensions

Abstract

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this