Variants of theorems of Baer and Hall on finite-by-hypercentral groups.

DOI10.1016/j.jalgebra.2015.12.023zbMath1342.20039arXiv1505.06762OpenAlexW1831870686MaRDI QIDQ5964502

Silvana Rinauro, Ulderico Dardano, Carlo Casolo

Publication date: 29 February 2016

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

Full work available at URL: https://arxiv.org/abs/1505.06762

zbMATH Keywords

automorphismslower central seriesupper central seriesBaer theoremHall theoremhypercentrestabilizers

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Automorphism groups of groups (20F28) Derived series, central series, and generalizations for groups (20F14)

Related Items (4)

Variants of theorems of Schur, Baer and Hall ⋮ Rank-Engel conditions on linear groups ⋮ Right weak Engel conditions on linear groups ⋮ On hypercentre-by-polycyclic-by-nilpotent groups

Cites Work

• Unnamed Item
• On some variants of theorems of Schur and Baer.
• Nilpotent groups and their automorphisms
• On the nilpotent multipliers of a group
• On a generalization of Baer Theorem
• On the upper central series of infinite groups
• Generalizing a theorem of P. Hall on finite-by-nilpotent groups
• Inequalities for Baer Invariants of Finite Groups
• The classification of the finite simple groups

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