Recent results on the derived length of Lie solvable group algebras.
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Relation modules of infinite groups, II
Martin Evans (2014)
Open Mathematics
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.
James A. Schafer (1992)
Commentarii mathematici Helvetici
Remarks on the Lie derived lengths of group algebras of groups with cyclic derived subgroup.
Balogh, Zsolt, Juhász, Tibor (2007)
Annales Mathematicae et Informaticae
Representations of Certain Verbal Wreath Products by Matrices.
Michael W. Thomson (1979)
Mathematische Zeitschrift
Representations of Simple Lie Groups with a Free Module of Covariants.
Gerald W. Schwarz (1978/1979)
Inventiones mathematicae
Restricted Boolean group rings
Dinesh Udar, R.K. Sharma, J.B. Srivastava (2017)
Archivum Mathematicum
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.
Ardakov, K., Brown, K.A. (2007)
Documenta Mathematica
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