BASS CYCLIC UNITS AS FACTORS IN A FREE GROUP IN INTEGRAL GROUP RING UNITS

DOI10.1142/S0218196711006327zbMath1236.16035MaRDI QIDQ3013888

Ángel Del Río, Jairo Z. Goncalves

Publication date: 19 July 2011

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

finite solvable groupsfree subgroupsgroups of unitsintegral group ringsBass cyclic unitsbicyclic units

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 (3)

Bass units as free factors in integral group rings of simple groups. ⋮ Group algebras whose units satisfy a Laurent polynomial identity ⋮ A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS

Cites Work

• Generators of large subgroups of the unit group of integral group rings
• Embedding free products in the unit group of an integral group ring.
• The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups
• Linear groups and group rings.
• Constructing free subgroups of integral group ring units
• Free Subgroups in the Unit Groups of Integral Group Rings
• On free subgroups of units of rings
• Free Subgroups in the Units of ℤ[K₈ × C_p]
• Free Groups and Subgroups of Finite Index in the Unit Group of an Integral Group Ring

This page was built for publication: BASS CYCLIC UNITS AS FACTORS IN A FREE GROUP IN INTEGRAL GROUP RING UNITS