Linear groups

DOI10.1070/RM1981v036n05ABEH003030zbMath0501.20024OpenAlexW4243217540MaRDI QIDQ5905320

Alexander E. Zalesskij

Publication date: 1981

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1981v036n05abeh003030

zbMATH Keywords

surveyunitary groupsfinite linear groupssubgroups of classical groupsanisotropic groupspseudoreflectionsinfinite linear groupsdieudonne determinantTannaka Artin problem

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Linear algebraic groups over global fields and their integers (20G30) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Cohomology theory for linear algebraic groups (20G10) Linear algebraic groups over local fields and their integers (20G25) Linear algebraic groups over adèles and other rings and schemes (20G35) Research exposition (monographs, survey articles) pertaining to group theory (20-02) Linear algebraic groups and related topics (20Gxx)

Related Items

The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups, Unisingular representations in arithmetic and Lie theory, Saint Petersburg school of the theory of linear groups. I: Prehistory, L. G. KOVÁCS AND LINEAR GROUPS, Geometries for sporadic groups related to the Petersen graph. II, IRREDUCIBLE MONOMIAL LINEAR GROUPS OF DEGREE FOUR OVER FINITE FIELDS, Linear Groups of Degree 4 Over a Quaternion Division Ring that Contain the Special Unitary Group of a Skew-Hermitian Form with Maximal Witt Index, FINITE LINEAR GROUPS OF SMALL DEGREE. II, On finite nilpotent matrix groups over integral domains., Some Completely Reducible Linear Groups over a Quaternion Division Ring Containing a Root Subgroup, Linear groups and computation