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Thin group In mathematics, a thin group has several unrelated definitions: *Thin group (finite group theory) a finite group such that for any odd prime the Sylow p-subgroups of the 2-local subgroups are cyclic. *Thin group (algebraic group theory) a discrete subgroup of infinite covolume. *Thin group (combinatorial group theory) a group whose Cayley graph has small girth. *In the theory of finite ''p''-groups, a thin group is a finite p-group such that any set of pairwise incomparable normal subgroups has at most ''p''+1 elements. *In infinite group theory, a thin group is a group with no infinite Sylow subgroup.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Thin group」の詳細全文を読む
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