On the normalizers of the unitary subgroup in an integral group ring

DOI10.1080/00927879708826053zbMath0884.16019OpenAlexW2152845999MaRDI QIDQ4361057

Yuan Lin Li

Publication date: 29 March 1998

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

Full work available at URL: https://doi.org/10.1080/00927879708826053

zbMATH Keywords

periodic groupsgroups of unitsintegral group ringsnormalizer conjecture

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Units, groups of units (associative rings and algebras) (16U60)

Related Items (5)

NORMALIZERS AND FREE GROUPS IN THE UNIT GROUP OF AN INTEGRAL SEMIGROUP RING ⋮ Units in orders and integral semigroup rings. ⋮ What is the probability an automorphism fixes a group element? ⋮ SOME RESULTS ON BICYCLIC UNITS IN AN INTEGRAL GROUP RING ⋮ Local analysis of the normalizer problem

Cites Work

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• Group automorphisms inducing the identity map on cohomology
• Unitary subgroup of the multiplicative group of the integral group ring of a cyclic group
• Unitary units in group rings of groups of order \(16\)
• UNITARITY OF THE MULTIPLICATIVE GROUP OF AN INTEGRAL GROUP RING
• Integral Group Rings with Trivial Central Units
• The Units of Group-Rings
• Unitary subgroup of integral group rings

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