On projective class groups(
About: This article is published in Transactions of the American Mathematical Society. The article was published on 01 Mar 1961. and is currently open access. The article focuses on the topics: Covering groups of the alternating and symmetric groups & Schur multiplier.
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The Grothendieck ring of a finite group
TL;DR: In this paper, the Grothendieck group of Rn-modules is defined as a group with one generator for each object A of V and relations [A] = [A + A + A −+ A -+ A + 0 in %' [6], where A is a commutative ring and rr is a finite group.
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Groupes de Grothendieck. Introduction
TL;DR: In this article, Sabatier implique l'accord avec les conditions générales d'utilisation (http://www.up-tlse.numdam.org/conditions).
References
Finitistic dimension and a homological generalization of semi-primary rings
TL;DR: In this article, Kaplansky showed that a commutative ring R is left T-nilpotent if, given any sequence {at} of elements in N, there exists an re such that ai • • • an = 0.
On the Characters of Finite Groups
Richard Brauer,John Tate +1 more
TL;DR: In this article, an elementary group is defined as a group which is the direct product of a cyclic group and a p-group for some prime number p, where a generalized character of 5 is the difference of two characters of 5.
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