Groups in which all subgroups are pronormal.

DOI10.1007/BF01057228zbMath0642.20028MaRDI QIDQ1101548

N. F. Kuzennyj, Igor Ya. Subbotin

Publication date: 1987

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

zbMATH Keywords

semidirect productDedekind grouppronormal subgrouplocally solvable

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (11)

Unnamed Item ⋮ ON GROUPS WHICH CONTAIN NO HNN-EXTENSIONS ⋮ Groups whose subgroups are either abelian or pronormal ⋮ Unnamed Item ⋮ Infinite groups with short balanced chains of subgroups. ⋮ On Groups in Which Normality Is a Transitive Relation ⋮ ON GENERALISED FC-GROUPS IN WHICH NORMALITY IS A TRANSITIVE RELATION ⋮ ON THE PRONORM OF A GROUP ⋮ The influence of arrangement of subgroups on the group structure ⋮ Groups with pronormal deviation ⋮ GROUPS WITH MANY PRONORMAL SUBGROUPS

Cites Work

• Groups with only normal and abnormal subgroups
• Finite Groups with Pro-Normal Subgroups
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