The Generalized Wielandt Subgroup of a Group

DOI10.4153/CJM-1995-012-7zbMath0832.20047OpenAlexW2319451623MaRDI QIDQ4846529

Martyn R. Dixon, Derek J. S. Robinson, James C. Beidleman

Publication date: 22 October 1995

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1995-012-7

zbMATH Keywords

soluble groupstransitive normalityBaer radicalabelian normal subgroups\(T\)-groupsinfinite subnormal subgroups\(IT\)-groupsfinite soluble subnormal subgroupsgeneralized Wielandt subgroupintersection of the normalizersPrüfer-by-finite groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (6)

Groups with finitely many normalizers of subnormal subgroups. ⋮ Groups with restrictions on infinite subnormal subgroups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An analogue of the Wielandt subgroup in infinite groups ⋮ A note on I-automorphisms

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