Aspects of the linear groups GL(n,2)

Gordon, Neil A.; Jarvisy, Trevor M.; Shawy, Ron

Abstract

We provide tables which summarize various aspects of the Önite linear groups GL(n; 2); n < 7; in their action upon the vector space Vn = V (n; 2) and upon the associated projective space PG(n 1; 2): It is intended that the tabulated results should be immediately accessible to Önite geometers, and to all others (design theorists, coding theorists, ... ) who have occasional need of these groups. In the case n = 4 attention is also paid to the maximal subgroup L(2; 4): In the case n = 6 the maximal subgroups L(2; 8) and L(3; 4) are treated, as are class aspects of the tensor product structure V6 = V2 V3; and of the exterior product structure V6 = ^ 2 V4

• Journal Article Type: Article
• Publication Date: Jan 1, 2005
• Print ISSN: 0835-3026
• Peer Reviewed: Peer Reviewed
• Volume: 53
• Pages: 13 - 31
• APA6 Citation: Gordon, N. A., Jarvisy, T. M., & Shawy, R. (2005). Aspects of the linear groups GL(n,2). Journal of combinatorial mathematics and combinatorial computing, 53, 13 - 31
• Publisher URL: http://www.combinatorialmath.ca/JCMCC/JCMCC53.html