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A permutational property of groups

✍ Scribed by Mario Curzio; Patrizia Longobardi; Mercede Maj; Derek J. S. Robinson


Book ID
112500713
Publisher
Springer
Year
1985
Tongue
English
Weight
219 KB
Volume
44
Category
Article
ISSN
0003-889X

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A Property Equivalent to n-Permutability
✍ Alireza Abdollahi; Aliakbar Mohammadi Hassanabadi; Bijan Taeri πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 88 KB

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 Οƒ 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