Groups generated by symplectic transvections over local rings

DOI10.1006/jabr.1998.7837zbMath0984.20031OpenAlexW2063623759MaRDI QIDQ1305025

Hiroyuki Ishibashi

Publication date: 29 October 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7837

zbMATH Keywords

symplectic groupsgeneratorslocal ringssymplectic transvectionssymplectic transformationsalternating bilinear formsWitt indexregular spanning sets

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) Classical groups (11E57)

Related Items (1)

Involutions and semiinvolutions

Cites Work

• Generation of symplectic groups by transvections over local rings with at least 3 residue classes
• Simple subrings of matrix rings over finite fields
• Orbits Under Symplectic Transvections I
• Necessary and Sufficient Condition for certain Subsets of Transvections to Generate a Subgroup of the Symplectic Group over Local Rings
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Groups generated by symplectic transvections over local rings