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'Cojaments, suggestions, and related referenoes »eloomedJ Subgroups close to normal subgroups
Let G be a group and H a subgroup. It is shown that the set of indices {[H:HngHg~] | geG) has a finite upper bound n if and only if there is a normal subgroup N < G which is commensurable with //; i.e., such that [H:Nr\H] and [N:Nr>H] are finite; moreover, the latter indices admit bounds depending only on n. If the bounded index hypothesis is assumed only for g running over some subgroup K<G, t...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1989
ISSN: 0021-8693
DOI: 10.1016/0021-8693(89)90275-5