COMPUTING LARGE DIRECT PRODUCTS OF FREE GROUPS IN INTEGRAL GROUP RINGS

DOI10.1081/AGB-120013213zbMath1001.16018MaRDI QIDQ4532451

Ángel Del Río, Manuel Ruiz Marin

Publication date: 17 December 2002

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

zbMATH Keywords

finite groupssubgroups of finite indexprimitive idempotentsunit groupsintegral group ringsdirect products of free 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 (4)

On Monomial Characters and Central Idempotents of Rational Group Algebras ⋮ An algorithm to compute the primitive central idempotents and the Wedderburn decomposition of a rational group algebra. ⋮ Groups of units of integral group rings of Kleinian type ⋮ Computing the Wedderburn decomposition of group algebras by the Brauer–Witt theorem

Cites Work

• Unnamed Item
• Products of free groups in the unit group of integral group rings. II
• Products of free groups in the unit group of integral group rings
• Free torsion-free normal complements in integral group rings
• Describing units of integral group rings of some 2-groups
• The Group of Units of the Integral Group Ring ZS₃
• Units of group rings of groups of order 16
• A structure theorem for the unit group of the integral group ring of some finite groups

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