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Thin group : ウィキペディア英語版
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)
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