Free products arising from elements of finite order in simple rings

DOI10.1090/S0002-9939-05-07764-6zbMath1071.16013OpenAlexW2006647175MaRDI QIDQ4663441

Mazi Shirvani, Jairo Z. Goncalves

Publication date: 31 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-07764-6

zbMATH Keywords

free productsgroup ringsunit groupselements of finite ordersimple Artinian ringsnon-central elementsabsolute fields

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Infinite-dimensional and general division rings (16K40) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Units, groups of units (associative rings and algebras) (16U60)

Related Items (1)

Free Groups in Central Simple Algebras without Tits' Theorem

Cites Work

• Multiplicative commutators in division rings. II
• Infinite subgroups of the Morava stabilizer groups
• Free products of units in algebras. II: Crossed products
• Embedding free products in the unit group of an integral group ring.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Free products arising from elements of finite order in simple rings