Free Groups in Central Simple Algebras without Tits' Theorem

DOI10.1080/00927870802068292zbMath1151.16022OpenAlexW2025868414MaRDI QIDQ3525205

Mazi Shirvani, Jairo Z. Goncalves

Publication date: 11 September 2008

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

Full work available at URL: https://doi.org/10.1080/00927870802068292

zbMATH Keywords

free subgroupscentral simple algebrasfree pairs

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Finite-dimensional division rings (16K20) Units, groups of units (associative rings and algebras) (16U60)

Related Items (1)

A Survey on Free Objects in Division Rings and in Division Rings with an Involution

Cites Work

• Free products of units in algebras. I: Quaternion algebras
• Free products of units in algebras. II: Crossed products
• Embedding free products in the unit group of an integral group ring.
• Free subgroups in linear groups
• Free products arising from elements of finite order in simple rings
• Finite-Dimensional Division Algebras over Fields
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