On the normalizer problem for integral group rings of torsion groups

DOI10.1007/BF02784509zbMath1016.20001MaRDI QIDQ1860703

Yuan Lin Li

Publication date: 13 May 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

torsion groupsautomorphism groupsnormalizersgroups of unitsintegral group ringslocally finite nilpotent groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Automorphism groups of groups (20F28) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Group automorphisms inducing the identity map on cohomology
• The normalizer of a group in the unit group of its group ring
• The normalizer of a metabelian group in its integral group ring
• On the isomorphism problem for infinite group rings
• Hypercentral units in integral group rings
• Central height of the unit group of an integral group ring
• Jordan decomposition and hypercentral units in integral group rings
• The Hypercentre and the n-Centre of the Unit Group of an Integral Group Ring
• On the normalizer property for integral group rings
• Automorphisms of finite groups
• On the Modular Group Ring of a p-Group
• A counterexample to the isomorphism problem for integral group rings

This page was built for publication: On the normalizer problem for integral group rings of torsion groups