Thin Group: Cayley Graph, Generating Set, Graph (Mathematics) -
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High Quality Content by WIKIPEDIA articles! In mathematics, in the realm of group theory, a group is said to be thin if there is a finite upper bound on the girth of the Cayley graph induced by any finite generating set. The group is called fat if it is not thin. Given any generating set of the group, we can consider a graph whose vertices are elements of the group with two vertices adjacent if their ratio ... Pilns apraksts
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