Group ring groups. Volume 2: Structure theorems of unit groups.

DOI10.1515/9783110411508zbMath1338.16002OpenAlexW2290964728MaRDI QIDQ744871

Eric Jespers, Ángel Del Río

Publication date: 12 October 2015

Published in: De Gruyter Textbook (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110411508

zbMATH Keywords

ordersfinite dimensional algebrasgroup algebrasfinite groupspresentationsgeneratorsrepresentationssubgroups of finite indexfree subgroupsK-theoryquaternion algebrashyperbolic geometrycyclotomic unitsunit groupsintegral group ringsfundamental polyhedradiscontinuous groupsbicyclic unitstesselationsBass unitsrational algebras

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60) Research exposition (monographs, survey articles) pertaining to group theory (20-02) Orders in separable algebras (16H10) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

Related Items (11)

Counting irreducible polynomials with prescribed coefficients over a finite field ⋮ Leavitt path algebras with bases consisting solely of units ⋮ Algorithmic Aspects of Units in Group Rings ⋮ On the prime graph question for integral group rings of 4-primary groups I ⋮ Free products in the unit group of the integral group ring of a finite group ⋮ Semisimple finite group algebra of a generalized strongly monomial group ⋮ On the determination of Sylow numbers ⋮ From examples to methods: Two cases from the study of units in integral group rings ⋮ Structure of group rings and the group of units of integral group rings: an invitation ⋮ Units of group rings and a conjecture of H. J. Zassenhaus ⋮ Orders of units in integral group rings and blocks of defect 1

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