On groups whose factor-group modulo the hypercentre has finite section \(p\)-rank.

DOI10.1016/j.jalgebra.2015.06.005zbMath1327.20039OpenAlexW752697626MaRDI QIDQ2515642

Martyn R. Dixon, Leonid A. Kurdachenko

Publication date: 5 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.06.005

zbMATH Keywords

lower central serieshypercentregeneralized radical groupslocally nilpotent residualfinite section \(p\)-ranks of groups

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Derived series, central series, and generalizations for groups (20F14)

Related Items (6)

Unnamed Item ⋮ GROUPS WITH A LARGE PERMUTABLY EMBEDDED SUBGROUP ⋮ On the relationships between central series in some locally finite groups ⋮ Groups whose factor group modulo the upper hypercenter is of finite 0-rank ⋮ On the relationships between the factors of the upper and lower central series in some non-periodic groups ⋮ On some properties of the upper central series in Leibniz algebras

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