The automorphisms of the symplectic congruence groups

DOI10.1016/0021-8693(72)90037-3zbMath0249.20025OpenAlexW2031637596MaRDI QIDQ2556604

Robert E. Solazzi

Publication date: 1972

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(72)90037-3

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05)

Related Items (6)

Isomorphism theory of congruence groups ⋮ Linear groups ⋮ Four-dimensional symplectic groups ⋮ Isomorphism theory for orthogonal groups over arbitrary integral domains ⋮ The isomorphisms of unitary groups over noncommutative domains ⋮ Isomorphisms of symplectic groups over commutative rings

Cites Work

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• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Group-theoretic characterization of transvections using CDC
• On the automorphisms of the symplectic group over any field
• The automorphisms of the standard sympletic group over any integral domain.
• On the automorphisms of the classical groups. With a supplement by Loo-Keng Hua
• Isomorphic Groups of Linear Transformations, II
• Automorphisms of the Symplectic Modular Group

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