scientific article

zbMath0431.20026MaRDI QIDQ3867969

Alexander Yu. Ol'shanskii

Publication date: 1979

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

zbMATH Keywords

maximal subgroupsR-groupsBaer's problemNoetherian groupsArtinian groupsChernikov's problemcontinuously many non-isomorphic 2-generator groupsisomorphic subgroup latticesmodular subgroup lattices of finite dimensionproper subgroups are infinite cyclicproper subgroups are of prime orderShmidt's problemsubgroup lattice automorphisms

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 (3)

Ein Untergruppensatz für modulare Gruppen ⋮ Construction of p-groups of intermediate growth that have a continuum of quotient groups ⋮ On subsemigroup lattices of aperiodic groups

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