A combinatorial property of certain infinite groups
โ Scribed by Pglisi, Orazio; Serena Spiezia, Lucia; Caccioppoli, R.
- Book ID
- 115456207
- Publisher
- Taylor and Francis Group
- Year
- 1994
- Tongue
- English
- Weight
- 366 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0092-7872
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๐ SIMILAR VOLUMES
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 ฯ 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
We show that the function \(f(n)=\left\lceil\left(5 n^{2}-3 n-2\right) / 6\right\rceil\) is the best possible squaring bound for infinite abelian groups. That is, if \(G\) is an infinite group and \(k\) is an integer \(\geqslant 2\), such that the condition, \(\left|K^{2}\right| \leqslant f(k)\), ho