Free Subgroups in the Units of ℤ[K8 × Cp]

DOI10.1081/AGB-120022793zbMath1036.16026MaRDI QIDQ4420214

Raul Antonio Ferraz

Publication date: 14 August 2003

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

free subgroupsgroups of unitsintegral group ringsBass cyclic unitsHamiltonian groups

Mathematics Subject Classification ID

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

Related Items (8)

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 ⋮ BASS CYCLIC UNITS AS FACTORS IN A FREE GROUP IN INTEGRAL GROUP RING UNITS ⋮ A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS ⋮ Free Pairs of Bicyclic Units in the Integral Group Ring of the Dihedral Group ⋮ Bicyclic units, Bass cyclic units and free groups ⋮ 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

Cites Work

• Unnamed Item
• Free products of units in algebras. I: Quaternion algebras
• Constructing free subgroups of integral group ring units
• Semigroup identities on units of integral group rings
• Free Subgroups in the Unit Groups of Integral Group Rings

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