scientific article

zbMath0431.20025MaRDI QIDQ3867968

Alexander Yu. Ol'shanskii

Publication date: 1979

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

maximal subgroupsBaer's problemNoetherian groupssoluble conjugacy problem2-generator infinite simple groupArtinian groupsChernikov's problemevery proper subgroup of prime ordermaximal and minimal conditions on subgroupsShmidt's problem

Mathematics Subject Classification ID

Maximal subgroups (20E28) Periodic groups; locally finite groups (20F50) Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (11)

A note on groups whose non-normal subgroups are either abelian or minimal non-abelian ⋮ Groups in which every proper subgroup is Chernikov-by-nilpotent or nilpotent-by-Chernikov ⋮ A note on subloop lattices. ⋮ Universal Borel actions of countable groups ⋮ On representations of direct products and the bounded generation property of branch groups ⋮ On locally graded barely transitive groups. ⋮ Automorphisms with finite Reidemeister number in residually finite groups. ⋮ Groups with minimal conditions related to finiteness properties on conjugacy classes ⋮ On minimal non-PC-groups. ⋮ On minimal conditions related to Miller-Moreno type groups ⋮ Maximal subgroups of \(\text{GL}_n(D)\)

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