If X, Y are subsets of a group G, we write X^{-1} = {x^{1} j x in X}; X^2 = {ab | a, b in X} and XY = {ab | a in X, b in Y }. In this survey we are interested in two topics related to products of finite subsets in groups. Let X be a finite subset of a group G. The first topic deals with the size of the product set X^2, while the second one is concerned with those fnite subsets X of G which satisfy the equation |XX^{-1}| = |X^{-1}1X|.
"Some results on products of finite subsets in groups"
LONGOBARDI, Patrizia;MAJ, Mercede
2015-01-01
Abstract
If X, Y are subsets of a group G, we write X^{-1} = {x^{1} j x in X}; X^2 = {ab | a, b in X} and XY = {ab | a in X, b in Y }. In this survey we are interested in two topics related to products of finite subsets in groups. Let X be a finite subset of a group G. The first topic deals with the size of the product set X^2, while the second one is concerned with those fnite subsets X of G which satisfy the equation |XX^{-1}| = |X^{-1}1X|.File in questo prodotto:
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