On the norm of decomposable subgroups in nonperiodic groups

DOI10.1007/s11253-016-1198-1zbMath1385.20012OpenAlexW2471769971MaRDI QIDQ2412913

T. D. Lukashova, F. N. Liman

Publication date: 6 April 2018

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-016-1198-1

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) Local properties of groups (20E25)

Related Items (7)

Non-periodic groups with the restrictions on the norm of cyclic subgroups of non-prime order ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Conditions of Dedekindness of generalized norms in nonperiodic groups ⋮ Infinite locally finite groups with the locally nilpotent non-Dedekind norm of decomposable subgroups ⋮ Unnamed Item ⋮ Nonperiodic locally soluble groups with non-Dedekind locally nilpotent norm of decomposable subgroups

Cites Work

• On the norm of decomposable subgroups in locally finite groups
• Groups in which every decomposable subgroup is invariant
• On Frobenius groups
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