Sets of Transvections Generating Subgroups Isomorphic to Special Linear Groups

DOI10.1081/AGB-200058379zbMath1084.20031MaRDI QIDQ5466648

R. Radina, Andrea Previtali, Lino Di Martino

Publication date: 25 August 2005

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

zbMATH Keywords

digraphsspecial linear groupstransvections

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Uses Software

• Magma

Cites Work

• Unnamed Item
• Generation of special linear groups by transvections
• Irreducible groups generated by transvections over finite fields of characteristic two
• Groups generated by elations
• Some groups generated by transvections
• GRAPHS AND NIELSEN TRANSFORMATIONS OF SYMMETRIC, ORTHOGONAL, AND SYMPLECTIC GROUPS
• Orbits Under Symplectic Transvections I
• LINEAR GROUPS GENERATED BY TRANSVECTIONS
• (2,3)-Generation of SL(n,q).I. cases n=5,6,7
• (2,3)-Generation of sl(n,q). II. cases n ≥ 8
• On Elations of Finite Projective Spaces of Odd Order

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