Groups with all proper subgroups (finite rank)-by-nilpotent

DOI10.1007/s000130050339zbMath0935.20025OpenAlexW4239895599MaRDI QIDQ1293176

Martin J. Evans, Martyn R. Dixon, Howard Smith

Publication date: 9 February 2000

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050339

zbMATH Keywords

nilpotent groupslocally soluble-by-finite groupsgroups of finite Prüfer rank

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22) Local properties of groups (20E25)

Related Items (7)

Groups whose proper subgroups of infinite rank have a transitive normality relation. ⋮ On metahamiltonian groups of infinite rank. ⋮ Groups with iterated restrictions on conjugacy classes ⋮ GROUPS WHOSE PROPER SUBGROUPS OF INFINITE RANK HAVE FINITE CONJUGACY CLASSES ⋮ GROUPS WITH ALL PROPER SUBGROUPS (FINITE RANK)-BY-NILPOTENT. II ⋮ GROUPS OF INFINITE RANK IN WHICH NORMALITY IS A TRANSITIVE RELATION ⋮ Groups of infinite rank with a locally finite term in the lower central series.

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