Topics in group rings. (English) Zbl 0411.16004

Sehgal, Sudarshan K.

Monographs and Textbooks in Pure and Applied Mathematics. 50. New York - Basel: Marcel Dekker, Inc. VI, 251 p. $ 24.50 (1978).

MSC:

16S34	Group rings
16U60	Units, groups of units (associative rings and algebras)
16-02	Research exposition (monographs, survey articles) pertaining to associative rings and algebras
20-02	Research exposition (monographs, survey articles) pertaining to group theory
20C05	Group rings of finite groups and their modules (group-theoretic aspects)
20C07	Group rings of infinite groups and their modules (group-theoretic aspects)
20D30	Series and lattices of subgroups
20E15	Chains and lattices of subgroups, subnormal subgroups

Keywords:

problems; group rings; idempotents in group rings; polycyclic-by-finite groups; denominators; central idempotents; units in group rings; isomorphism problem; dimension subgroups; lattices of normal subgroups; Lie properties; Lie \(n\)-Engel group rings; rational group algebras; nilpotent unit groups; FC unit groups