Free Subgroups in the Unit Groups of Integral Group Rings
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Publication:3907701
DOI10.4153/CJM-1980-104-3zbMath0458.16007MaRDI QIDQ3907701
Publication date: 1980
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19) Units, groups of units (associative rings and algebras) (16U60)
Related Items (38)
Group rings with solvable unit groups ⋮ Notes on the history of identities on group (and loop) algebras ⋮ Free subgroups in the group of units of group rings. II ⋮ Group identities on units of rings ⋮ Unnamed Item ⋮ Products of free groups in the unit group of integral group rings. II ⋮ Generalised Tits alternative for linear semigroups ⋮ Groups of units of integral group rings commensurable with direct products of free-by-free groups. ⋮ Bass units as free factors in integral group rings of simple groups. ⋮ Star group identities on units of group 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 ⋮ Construction of free subgroups in the group of units of modular group algebras ⋮ Group algebras of Kleinian type and groups of units. ⋮ BASS CYCLIC UNITS AS FACTORS IN A FREE GROUP IN INTEGRAL GROUP RING UNITS ⋮ Subnormal subgroups of group ring units ⋮ 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 ⋮ Alternative loop rings with solvable unit loops ⋮ Units of group rings ⋮ Free Subgroups in the Units of ℤ[K8 × Cp] ⋮ Residual properties of unit loops and augmentation ideals of alternative loop rings ⋮ Free Pairs of Bicyclic Units in the Integral Group Ring of the Dihedral Group ⋮ Free unit groups in group algebras ⋮ 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 ⋮ Alternating units as free factors in the group of units of integral group rings ⋮ The lower central series of the unit group of an integral group ring ⋮ Integral group rings whose group of units is solvable an elementary proof ⋮ Free products of units in algebras. I: Quaternion algebras ⋮ Residual solvability of unit groups of local group rings ⋮ Units of group rings and a conjecture of H. J. Zassenhaus ⋮ Constructing free subgroups of integral group ring units ⋮ Semigroup identities on units of integral group rings ⋮ Free products of units in algebras. II: Crossed products ⋮ Some remarks on the unit groups of integral group rings ⋮ On units of twisted group algebras ⋮ Integral group rings: Groups of units and classical K-theory
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