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Chain Conditions on Subnormal Subgroups

Ferguson, ColinUniversity of Illinois at Urbana-Champaign2015

… properties with respect to chains of normal subgroups. We show hold when the scope is broadened to include subnormal subgroups.

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Subnormal subgroups, and subideals of Lie algebras.

Williams, John Philip.University of Cambridge1983

cambridge

Subnormal Structure of Finite Soluble Groups

Wetherell, Chris2001

… subgroup, the intersection of normalizers of subnormal subgroups, is non-trivial in any finite group and thus gives rise to a series whose length is a measure of the complexity of a group's subnormal structure. Another measure, akin to the nilpotency class of nilpotent groups, arises from the …

aus-cath Repository record for Subnormal Structure of Finite Soluble Groups (opens in a new tab)

Subnormal Structure of Finite Soluble Groups

Wetherell, Chris2001

… subgroup, the intersection of normalizers of subnormal subgroups, is non-trivial in any finite group and thus gives rise to a series whose length is a measure of the complexity of a group's subnormal structure. Another measure, akin to the nilpotency class of nilpotent groups, arises from the …

anu Repository record for Subnormal Structure of Finite Soluble Groups (opens in a new tab)