Group congurences on bisimple w-semigroups.
Group conjugation has non-trivial LD-identities
We show that group conjugation generates a proper subvariety of left distributive idempotent groupoids. This subvariety coincides with the variety generated by all cancellative left distributive groupoids.
Group extensions and automorphism group rings.
Group Extensions and Splitting Modules.
Group extensions, crossed pairs and an eight term exact sequence.
Group Extensions with Infinite Conjugacy Classes
We characterize the group property of being with infinite conjugacy classes (or icc, i.e. infinite and of which all conjugacy classes except are infinite) for groups which are extensions of groups. We prove a general result for extensions of groups, then deduce characterizations in semi-direct products, wreath products, finite extensions, among others examples we also deduce a characterization for amalgamated products and HNN extensions. The icc property is correlated to the Theory of von Neumann...
Group ideals in a semigroup of measures.
Group negative curvature for 3-manifolds with genuine laminations.
Group representations and integrality.
Group representations without groups.
Group rings and irreducible representations of space groups.
Group rings, Hecke orders, quasi-hereditary orders, cellular orders and deformations.
Group Rings of Circle and Unit Groups.
Group Rings of Finite Representation Type.
Group Rings of Hypercyclic Groups.
Group Rings Whose Units Form an FC-Group.
Group Rings Whose Units Form an FC-Group.
Group rings with FC-nilpotent unit groups.
Let U(RG) be the unit group of the group ring RG. Groups G such that U(RG) is FC-nilpotent are determined, where R is the ring of integers Z or a field K of characteristic zero.
Group Rings with Units Torsion Over the Center.
Group Theory and Architecture, 2: Why Symmetry/Asymmetry?