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Descendant subgroup

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{TEX|done}} 2010 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

  • Martyn R. Dixon, "Sylow Theory, Formations, and Fitting Classes", in Locally Finite Groups (World Scientific, 1994) ISBN 9810217951, p.6
How to Cite This Entry:
Descendant subgroup. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Descendant_subgroup&oldid=31032