Groups in which the normal closures of cyclic subgroups have bounded finite Hirsch-Zaitsev rank

DOI10.1007/s10958-018-3930-xzbMath1401.20038OpenAlexW2810906294MaRDI QIDQ1791769

Nikolaj N. Semko, Leonid A. Kurdachenko

Publication date: 11 October 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3930-x

zbMATH Keywords

normal closureHirsch-Zaitsev rankinfinite cyclic factors

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25)

Cites Work

• Average dimension of fixed point spaces with applications.
• Products of Abelian groups
• On some ranks of infinite groups.
• GROUPS IN WHICH NORMAL CLOSURES OF ELEMENTS HAVE BOUNDEDLY FINITE RANK
• Jordan's Theorem for Solvable Groups
• Groups Covered By Permutable Subsets
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item