ON SOME CRITERIA OF NILPOTENCY

DOI10.1081/AGB-120005818zbMath1062.20041OpenAlexW2056246799MaRDI QIDQ4781540

Javier Otal, Leonid A. Kurdachenko, Igor Ya. Subbotin

Publication date: 2002

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120005818

zbMATH Keywords

maximal subgroupsnilpotent groupsEngel groupslocally nilpotent groupsmonolithic groupshypercentral groupsFrattini subgroupfinitely generated soluble groupsminimax soluble groupscriteria of nilpotencygeneralized minimax groupsnilpotency of factor groupsnormality of pronormal subgroups

Mathematics Subject Classification ID

Maximal subgroups (20E28) Solvable groups, supersolvable groups (20F16) Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Nilpotent groups (20F18) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14) Engel conditions (20F45)

Related Items

Unnamed Item ⋮ Abnormal, Pronormal, Contranormal, and Carter Subgroups in Some Generalized Minimax Groups ⋮ Abnormal subgroups and Carter subgroups in some classes of infinite groups. ⋮ Groups without proper abnormal subgroups ⋮ On Influence of Contranormal Subgroups on the Structure of Infinite Groups

Cites Work

• Products of Abelian groups
• A theorem on finitely generated hyperabelian groups
• On generalized hypercenters in artinian modules
• Residual Properties of Some Classes of Infinite Soluble Groups
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