FINITE LINEAR GROUPS GENERATED BY REFLECTIONS

DOI10.1070/IM1981v017n03ABEH001369zbMath0478.20033OpenAlexW2305071697MaRDI QIDQ3934608

V. N. Serezhkin, Alexander E. Zalesskij

Publication date: 1981

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1981v017n03abeh001369

zbMATH Keywords

finite linear groups generated by reflections

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15) Other matrix groups over finite fields (20H30)

Related Items (9)

UNIPOTENT ELEMENTS IN REPRESENTATIONS OF FINITE GROUPS OF LIE TYPE ⋮ Reflection groups and polytopes over finite fields. I. ⋮ The transvection free groups with polynomial rings of invariants ⋮ Almost cyclic elements in Weil representations of finite classical groups ⋮ Generation of finite almost simple groups by conjugates. ⋮ Reflection groups and polytopes over finite fields. II. ⋮ Centralizers of involutions in locally finite-simple groups. ⋮ Classification of the finite \(n\)-generator transvection groups over \(\mathbb Z_2\). ⋮ The classical involution theorem for groups of finite Morley rank

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