On the multiplicative subgroup of a group ring
On the regularity of group algebras
On the relations between the central factor-module and the derived submodule in modules over group rings
A modular analogue of the well-known group theoretical result about finiteness of the derived subgroup in a group with a finite factor by its center has been obtained.
Permutation modules and projective resolutions.
Recent results on the derived length of Lie solvable group algebras.
Relation modules of infinite groups, II
Let F n denote the free group of rank n and d(G) the minimal number of generators of the finitely generated group G. Suppose that R ↪ F m ↠ G and S ↪ F m ↠ G are presentations of G and let and denote the associated relation modules of G. It is well known that even though it is quite possible that . However, to the best of the author’s knowledge no examples have appeared in the literature with the property that . Our purpose here is to exhibit, for each integer k ≥ 1, a group G that has presentations...
Relative cyclic homology and the Bass conjecture.
Remarks on the Lie derived lengths of group algebras of groups with cyclic derived subgroup.
Representations of Certain Verbal Wreath Products by Matrices.
Representations of Simple Lie Groups with a Free Module of Covariants.
Restricted Boolean group rings
In this paper we study restricted Boolean rings and group rings. A ring is if every proper homomorphic image of is boolean. Our main aim is to characterize restricted Boolean group rings. A complete characterization of non-prime restricted Boolean group rings has been obtained. Also in case of prime group rings necessary conditions have been obtained for a group ring to be restricted Boolean. A counterexample is given to show that these conditions are not sufficient.
Ring-theoretic properties of Iwasawa algebras: a survey.
Semisimple completed group rings.
Simple modules over CC-groups and monolithic just non-CC-groups
In questo lavoro studiamo i non CC-gruppi monolitici con tutti i quozienti propri CC-gruppi, che hanno sottogruppi abeliani normali non banali.
Skein algebra of a group
We define for each group G the skein algebra of G. We show how it is related to the Kauffman bracket skein modules. We prove that skein algebras of abelian groups are isomorphic to symmetric subalgebras of corresponding group rings. Moreover, we show that, for any abelian group G, homomorphisms from the skein algebra of G to C correspond exactly to traces of SL(2,C)-representations of G. We also solve, for abelian groups, the conjecture of Bullock on SL(2,C) character varieties of groups - we show...
Some Recognizable Properties of Solvable Groups.
Strongly prime radical of group algebras.
Subgroups of the basic subgroup in a modular group ring
Subgroups with projective abelianization and trivial multiplicator.
Sur le problème d'isomorphisme et la suite de dimension