Central units of integral group rings

DOI10.1090/S0002-9939-2014-11958-7zbMath1296.16040arXiv1203.5232OpenAlexW2963691796MaRDI QIDQ5418534

Eric Jespers, Inneke Van Gelder, Gabriela Olteanu, Ángel Del Río

Publication date: 4 June 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.5232

zbMATH Keywords

finite groupsgeneratorssubgroups of finite indexintegral group ringscentral unitsBass units

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 (8)

On idempotents and the number of simple components of semisimple group algebras ⋮ A generalization of strongly monomial groups ⋮ Central units of integral group rings of monomial groups ⋮ Integral group rings with all central units trivial ⋮ Bass units as free factors in integral group rings of simple groups. ⋮ Abelianization and fixed point properties of units in integral group rings ⋮ Abelianization of the unit group of an integral group ring ⋮ On the index of a free abelian subgroup in the group of central units of an integral group ring.

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