Subgroups of linear groups rich in transvections

DOI10.1007/BF01089083zbMath0612.20026MaRDI QIDQ1087998

Z. I. Borevich

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

general linear groupspecial linear groupsubgroups full of transvections

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07)

Related Items (14)

Unnamed Item ⋮ Unnamed Item ⋮ Closed nets in linear groups. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Closed elementary nets over a field of characteristic 0 ⋮ Structure of nets over quadratic fields ⋮ On sufficient conditions for the closure of an elementary net ⋮ An embedding theorem for an elementary net ⋮ Decomposition of Elementary Transvection in Elementary Net Group ⋮ Unnamed Item ⋮ On a Question about Generalized Congruence Subgroups ⋮ Elementary nets (carpets) over a discrete valuation ring ⋮ Parabolic Subgroups of Linear Groups and the Vershik-Kerov Group Over 𝔽₂

Cites Work

• A description of the subgroups of the complete linear group that contain the group of diagonal matrices
• Introduction to multiplicative theory of modules of integral representations

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