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A Property Equivalent to n-Permutability for Infinite Groups

โœ Scribed by Alireza Abdollahi; Aliakbar Mohammadi Hassanabadi; Bijan Taeri

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
88 KB
Volume
221
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

Let n be an integer greater than 1. A group G is said to be n-permutable whenever for every n-tuple x 1

x n of elements of G there exists a non-identity permutation ฯƒ of 1

In this paper we prove that an infinite group G is n-permutable if and only if for every n infinite subsets X 1 X n of G there exists a non-identity permutation ฯƒ on 1

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