Generation of symplectic groups by transvections over local rings with at least 3 residue classes

DOI10.1016/0021-8693(88)90139-1zbMath0641.20035OpenAlexW1973173506MaRDI QIDQ1100563

Hiroyuki Ishibashi

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90139-1

zbMATH Keywords

symplectic groupfree modulegeneratorstransvectionalternating bilinear form

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Other matrix groups over rings (20H25)

Related Items (1)

Groups generated by symplectic transvections over local rings

Cites Work

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• Small systems of generators of isotropic unitary groups over finite fields of characteristic not two
• Generators of \(Sp_ n(\)V) over a quasi semilocal semihereditary ring
• Simple subrings of matrix rings over finite fields
• Decomposition of orthogonal, symplectic, and unitary isometries into simple isometries
• Orbits Under Symplectic Transvections I
• On the Mal'cev quotients of certain hyperbolic link groups

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