Constructing free subgroups of integral group ring units
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Publication:3127282
DOI10.1090/S0002-9939-97-03812-4zbMath0869.16020OpenAlexW1547377294MaRDI QIDQ3127282
Zbigniew S. Marciniak, Sudarshan K. Sehgal
Publication date: 8 April 1997
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03812-4
Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Units, groups of units (associative rings and algebras) (16U60)
Related Items (29)
Unnamed Item ⋮ Bass units as free factors in integral group rings of simple groups. ⋮ Free unit groups in group rings and division rings: My collaboration with Don Passman ⋮ Star group identities on units of group algebras ⋮ NORMALIZERS AND FREE GROUPS IN THE UNIT GROUP OF AN INTEGRAL SEMIGROUP RING ⋮ Products of unipotent elements in certain algebras ⋮ 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 ⋮ Group algebras whose units satisfy a Laurent polynomial identity ⋮ 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 ⋮ Subnormal subgroups of group ring units ⋮ SOME RESULTS ON BICYCLIC UNITS IN AN INTEGRAL GROUP RING ⋮ FREE SUBGROUPS IN THE GROUP OF UNITS OF A TWISTED GROUP ALGEBRA ⋮ Free Groups and Subgroups of Finite Index in the Unit Group of an Integral Group Ring ⋮ A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS ⋮ Free Subgroups in the Units of ℤ[K8 × Cp] ⋮ Free Pairs of Bicyclic Units in the Integral Group Ring of the Dihedral Group ⋮ Free unit groups in group algebras ⋮ Involutions and free pairs of bicyclic units in integral group rings ⋮ From Farey symbols to generators for subgroups of finite index in integral group rings of finite groups ⋮ Bicyclic units, Bass cyclic units and free groups ⋮ Lie properties of symmetric elements in group rings. ⋮ On Symmetric Elements and Symmetric Units in Group Rings ⋮ Alternating units as free factors in the group of units of integral group rings ⋮ Units of group rings and a conjecture of H. J. Zassenhaus ⋮ Involutions and free pairs of bicyclic units in integral group rings of non-nilpotent groups ⋮ Group identities on symmetric units. ⋮ Constructing free products of cyclic subgroups inside the group of units of integral group rings
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