Classification of finite subgroups of \(2\times 2\) matrices over a division algebra of characteristic zero

DOI10.1016/0021-8693(88)90069-5zbMath0663.20052OpenAlexW1991950680MaRDI QIDQ1114019

Behnam Banieqbal

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90069-5

zbMATH Keywords

soluble groupsSylow 2-subgroupsFitting subgroupperfect subgroupsfinite groups of matrices over division ringsfinite subgroups of division rings

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Other matrix groups over rings (20H25) Units, groups of units (associative rings and algebras) (16U60) Division rings and semisimple Artin rings (16Kxx)

Related Items

Degree 1 and 2 representations of nilpotent groups and applications to units of group rings, Products of free groups in the unit group of integral group rings. II, On the congruence subgroup problem for integral group rings, Free products of abelian groups in the unit group of integral group rings, Describing units of integral group rings up to commensurability., From the Poincaré Theorem to generators of the unit group of integral group rings of finite groups, From Farey symbols to generators for subgroups of finite index in integral group rings of finite groups

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