Unit groups of integral group rings: old and new.

DOI10.1365/s13291-013-0067-1zbMath1287.16033OpenAlexW2030473613MaRDI QIDQ380406

Wolfgang Kimmerle

Publication date: 13 November 2013

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1365/s13291-013-0067-1

zbMATH Keywords

unit groupsintegral group ringsZassenhaus conjectureGruenberg-Kegel graphs

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)

Related Items (5)

Sylow like theorems for $V(mathbb{Z}G)$ ⋮ 𝑝-subgroups of units in ℤ𝔾 ⋮ Abelianization and fixed point properties of units in integral group rings ⋮ On the determination of Sylow numbers ⋮ Computing S-unit groups of orders

Uses Software

• GAP
• LAGUNA

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