A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS

DOI10.1142/S0219498813500047zbMath1279.16031MaRDI QIDQ4928310

Ángel Del Río, Jairo Z. Goncalves

Publication date: 11 June 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

subgroups of finite indexfree subgroupsinvolutionsgroups of unitsintegral group ringsunitary unitssymmetric unitsBass unitsfree pairs

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Free nonabelian groups (20E05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (9)

A note on symmetric elements of division rings with involution ⋮ Products of unipotent elements in certain algebras ⋮ Abelianization and fixed point properties of units in integral group rings ⋮ Permutable subgroups in \(\mathrm{GL}_n (D)\) and applications to locally finite group algebras ⋮ 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 ⋮ Some algebraic algebras with Engel unit groups ⋮ Units of group rings and a conjecture of H. J. Zassenhaus ⋮ Constructing free products of cyclic subgroups inside the group of units of integral group rings

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