Embedding free products in the unit group of an integral group ring.

DOI10.1007/s00013-003-4793-yzbMath1064.16030OpenAlexW2006205458MaRDI QIDQ1881513

Jairo Z. Goncalves, Donald S.Passman

Publication date: 5 October 2004

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-003-4793-y

zbMATH Keywords

finite groupsfree productsunit groupsintegral group ringselements of finite orderbicyclic units

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Units, groups of units (associative rings and algebras) (16U60)

Related Items (13)

A dichotomy for integral group rings via higher modular groups as amalgamated products ⋮ Products of unipotent elements in certain algebras ⋮ Abelianization and fixed point properties of units in integral group rings ⋮ Free Groups in Central Simple Algebras without Tits' Theorem ⋮ Rational group algebras of finite groups: from idempotents to units of integral group rings. ⋮ Free products in the unit group of the integral group ring of a finite group ⋮ On free products inside the unit group of integral group rings ⋮ BASS CYCLIC UNITS AS FACTORS IN A FREE GROUP IN INTEGRAL GROUP RING UNITS ⋮ Free products arising from elements of finite order in simple rings ⋮ A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS ⋮ From Farey symbols to generators for subgroups of finite index in integral group rings of finite groups ⋮ Alternating units as free factors in the group of units of integral group rings ⋮ Constructing free products of cyclic subgroups inside the group of units of integral group rings

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