ENGEL PROPERTIES OF THE MULTIPLICATIVE GROUP OF A GROUP ALGEBRA

DOI10.1070/SM1992V072N01ABEH001265zbMath0776.16010OpenAlexW2037253306MaRDI QIDQ3135049

I. I. Khripta, Adalbert Bovdi

Publication date: 22 September 1993

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1992v072n01abeh001265

zbMATH Keywords

finite \(p\)-groupsunit groupgroup ringEngel grouplocally nilpotent groupcentral subgroup\(n\)-Engel groupsinfinite Sylow \(p\)-subgroup

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Engel conditions (20F45) Units, groups of units (associative rings and algebras) (16U60)

Related Items (5)

Torsion subgroups, solvability and the Engel condition in associative rings ⋮ ON ENGEL QUASI-NORMAL SUBGROUP IN DIVISION RINGS WITH UNCOUNTABLE CENTER ⋮ Group algebras with an Engel group of units ⋮ Some algebraic algebras with Engel unit groups ⋮ Engel properties of group algebras. II

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