On finite subgroups of the classical groups.

DOI10.1515/jgth-2015-0012zbMath1326.20049OpenAlexW2084704133MaRDI QIDQ2352886

Michael J. Collins

Publication date: 6 July 2015

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2015-0012

zbMATH Keywords

orders of finite subgroupsoptimal boundscomplex symplectic groupsJordan theoremAbelian normal subgroupscomplex orthogonal groupsindex boundsfinite subgroups of classical groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Classical groups (11E57)

Related Items (3)

Induced representations and invariant forms. ⋮ Symmetries of flat manifolds, Jordan property and the general Zimmer program ⋮ Bounds on real finite linear groups that preserve a symmetric or skew symmetric bilinear form

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