On the structure of some groups having finite contranormal subgroups

DOI10.12958/ADM1724zbMath1491.20069OpenAlexW3153691569MaRDI QIDQ5158964

Nikolaj N. Semko, Leonid A. Kurdachenko

Publication date: 26 October 2021

Published in: Algebra and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12958/adm1724

zbMATH Keywords

contranormal subgroupsabelian-by-nilpotent groupshypercenter of a group\(G\)-eccentric subgroupsrationally irreducible subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Nilpotent groups (20F18) Chains and lattices of subgroups, subnormal subgroups (20E15)

Cites Work

• The rank of the factor-group modulo the hypercenter and the rank of the some hypocenter of a group.
• Nilpotent subgroups of finite soluble groups
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