A note on u.p. groups

DOI10.1080/00927878008822456zbMath0423.20005OpenAlexW1993978102MaRDI QIDQ3856919

Andrzej Strojnowski

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1080/00927878008822456

zbMATH Keywords

zero divisor problemunit problemtwo unique products groupunique product groupu.p.-groupfree product of u.p. groupsgroup ring problems

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Special aspects of infinite or finite groups (20F99) Structure and classification of infinite or finite groups (20E99)

Related Items (29)

On the automorphisms of the group ring of a unique product group ⋮ Unnamed Item ⋮ Group rings whose symmetric units are nilpotent ⋮ Unique product groups and congruence subgroups ⋮ Algebras of cancellative semigroups ⋮ Unnamed Item ⋮ Quotients of Passman fours group and non-units of their group algebras ⋮ How to generalize known results on equations over groups. ⋮ Units of group algebras of the fours group ⋮ Cardinality of product sets in torsion-free groups and applications in group algebras ⋮ Homogeneous nilradicals over semigroup graded rings ⋮ On the support of _*-symmetric units in group algebras ⋮ Units, isomorphisms and automorphisms of crossed products of up-groups¹ ⋮ Zero divisor and unit elements with supports of size 4 in group algebras of torsion-free groups ⋮ Group identities on units of group algebras ⋮ Indecomposable involutive set-theoretic solutions of the Yang-Baxter equation ⋮ Finite groups ⋮ Linear cellular automata on Cayley graphs ⋮ Small doubling in $m$-Engel groups ⋮ Construction of a two unique product semigroup defined by permutation relations of quaternion type. ⋮ Nonunits of group algebras over the fours group ⋮ A new class of unique product monoids with applications to ring theory. ⋮ A counterexample to the unit conjecture for group rings ⋮ Group Rings Whose Symmetric Units are Solvable ⋮ Group algebras with an Engel group of units ⋮ A note on the units of semigroup rings ⋮ Integral group rings: Groups of units and classical K-theory ⋮ On radicals of graded rings ⋮ On radicals of graded rings and applications to semigroup rings

Cites Work

• Unnamed Item
• Unnamed Item

This page was built for publication: A note on u.p. groups