On inert subgroups of a group.

zbMath1167.20319MaRDI QIDQ833480

Derek J. S. Robinson

Publication date: 13 August 2009

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108671

zbMATH Keywords

soluble groupssubgroups of finite indexfinitely-generated groupsinert subgroupsgroups with finite Abelian total rank

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05)

Related Items (10)

On totally inert simple groups. ⋮ Inertial automorphisms of an Abelian group. ⋮ On the ring of inertial endomorphisms of an abelian group. ⋮ On strongly autinertial groups ⋮ A group of generalized finitary automorphisms of an abelian group ⋮ Intrinsic algebraic entropy ⋮ Inertial properties in groups ⋮ Groups in which each subnormal subgroup is commensurable with some normal subgroup ⋮ Inertial endomorphisms of an abelian group. ⋮ A property of the lamplighter group

Cites Work

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• Locally finite simple groups as a product of two inert subgroups
• Locally finite groups containing a finite inseparable subgroup
• Totally inert groups
• Permutable subgroups of infinite groups
• Soluble products of nilpotent groups

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