Infinite minimal non-hypercyclic groups
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Publication:2949756
DOI10.1142/S0219498815501431zbMath1331.20044MaRDI QIDQ2949756
Marco Trombetti, Francesco de Giovanni
Publication date: 2 October 2015
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
locally graded groupslocally nilpotent groupssubgroups of infinite ranklocally supersoluble groupsminimal non-hypercentral groupsminimal non-hypercyclic groups
Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25)
Related Items (19)
Generalized nilpotency in uncountable groups ⋮ On minimal non-(residually nilpotent) locally graded groups ⋮ Unnamed Item ⋮ A note on groups whose proper subgroups are quasihamiltonian-by-finite ⋮ NILPOTENCY IN UNCOUNTABLE GROUPS ⋮ Groups with iterated restrictions on conjugacy classes ⋮ The pro-norm of a profinite group ⋮ Hall classes in linear groups ⋮ Finite skew braces of square-free order and supersolubility ⋮ Periodic linear groups factorized by mutually permutable subgroups ⋮ Large characteristic subgroups and abstract group classes ⋮ On locally graded minimal non-(finite-by-hypercentral) groups ⋮ Cohopfian groups and accessible group classes ⋮ Linear groups whose proper subgroups are close to being nilpotent ⋮ On groups with all proper subgroups finite-by-abelian-by-finite ⋮ Groups with all subgroups permutable or soluble of finite rank ⋮ Paranilpotency in uncountable groups ⋮ Unnamed Item ⋮ A constructive approach to accessible group classes
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