Let G be a finite group of order n ≥ 2, (cursive Greek chi1,...,cursive Greek chin) an n-tuple of elements of G and A = (aij) a square matrix of order n such that aij = cursive Greek chiicursive Greek chij. We investigate how many different types of such matrices could exist for n = 2,3 and we deal with some of their properties. We show that for every group G the number of the ordered n-tuples corresponding to the same matrix is a multiple of |G|.
Counting squares of n-subsets in finite groups / M. Bianchi, A. Gillio, L. Verardi. - In: ARS COMBINATORIA. - ISSN 0381-7032. - 52(1999), pp. 97-114.
Counting squares of n-subsets in finite groups
M. Bianchi;
1999
Abstract
Let G be a finite group of order n ≥ 2, (cursive Greek chi1,...,cursive Greek chin) an n-tuple of elements of G and A = (aij) a square matrix of order n such that aij = cursive Greek chiicursive Greek chij. We investigate how many different types of such matrices could exist for n = 2,3 and we deal with some of their properties. We show that for every group G the number of the ordered n-tuples corresponding to the same matrix is a multiple of |G|.File in questo prodotto:
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