Free Normal Complements and the Unit Group of Integral Group Rings

DOI10.2307/2160841zbMath0833.16032OpenAlexW4242314959MaRDI QIDQ4311371

Eric Jespers

Publication date: 12 March 1996

Full work available at URL: https://doi.org/10.2307/2160841

zbMATH Keywords

symmetric groupsfinite groupsdihedral groupsunit groupsintegral group ringsdicyclic groupsfree normal complements

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Extensions, wreath products, and other compositions of groups (20E22) Units, groups of units (associative rings and algebras) (16U60)

Related Items (12)

Unnamed Item ⋮ Hyperbolic unit groups and quaternion algebras. ⋮ Hyperbolic unit groups ⋮ 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. ⋮ Abelianization and fixed point properties of units in integral group rings ⋮ Hyperbolicity of semigroup algebras. ⋮ Abelianization of the unit group of an integral group ring ⋮ Subnormal subgroups of group ring units ⋮ Free products of abelian groups in the unit group of integral group rings ⋮ Units of group rings ⋮ Constructing free subgroups of integral group ring units

Cites Work

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• Construction of units in group rings of monomial and symmetric groups
• Generators of large subgroups of the unit group of integral group rings
• Représentation de \(-1\) comme somme de carrés dans un corps cyclotomique quelconque
• Units of group rings of solvable and Frobenius groups over large rings of cyclotomic integers
• Triality and Lie algebras of type \(D_4\)
• On the representation of \(-1\) as a sum of two-squares in an algebraic number field
• Free torsion-free normal complements in integral group rings
• Describing units of integral group rings of some 2-groups
• Construction of Units in Integral Group Rings of Finite Nilpotent Groups
• Units of group rings of groups of order 16
• Finite Groups With Isomorphic Group Algebras

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