Descendant subgroup
From Encyclopediaofmath - Reading time: 1 min2020 Mathematics Subject Classification: Primary: 20F14 [MSN][ZBL]
A subgroup of a group for which there is a descending series starting from the subgroup and ending at the group, such that every term in the series is a normal subgroup of its predecessor. The series may be an infinite subgroup system. If the series is finite, then the subgroup is subnormal.
References[edit]
- Martyn R. Dixon, "Sylow Theory, Formations, and Fitting Classes", in Locally Finite Groups (World Scientific, 1994) ISBN 9810217951, p.6
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Original source: https://encyclopediaofmath.org/wiki/Descendant subgroup
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Original source: https://encyclopediaofmath.org/wiki/Descendant subgroup
Status: article is cached
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