Parabolic subgroups of \(\mathrm{SL}_n\) and \(\mathrm{Sp}_{2l}\) over a Dedekind ring of arithmetic type.

DOI10.1007/s10958-010-0135-3zbMath1215.20047OpenAlexW1971858376MaRDI QIDQ547241

A. V. Aleksandrov, Nikolai A. Vavilov

Publication date: 30 June 2011

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-010-0135-3

zbMATH Keywords

parabolic subgroupssymplectic groupsspecial linear groupstransvectionsDedekind rings of arithmetic type

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25)

Related Items

Parabolic subgroups of \(\mathrm{SO}_{2l}\) over a Dedekind ring of arithmetic type

Cites Work

• On parabolic subgroups of Chevalley groups over local rings
• Decomposition of transvections: A theme with variations
• On the group S L 2 over orders of arithmetic type.
• Classification of All Parabolic Subgroup-Schemes of a Reductive Linear Algebraic Group Over an Algebraically Closed Field
• Generators, Relations and Coverings of Chevalley Groups Over Commutative Rings
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