Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-23T14:45:50.031Z Has data issue: false hasContentIssue false
  • English
  • Français

The generation by two operators of the symplectic group over GF(2)*

Published online by Cambridge University Press:  09 April 2009

T. G. Room
T. G. Room
Affiliation:
University of Sydney
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The main result obtained in this paper is Theorem 1. The symplectic group on the skew matrix T of 2m rows and columns over GF (2)** can be generated by the two matrices Q, R, whereTi,j being the substitution matrix which interchanges the elements numbered i and j,.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 1 , Issue 1 , August 1959 , pp. 38 - 46
Copyright
Copyright © Australian Mathematical Society 1959

References

[1]Dickson, L. E., Linear Groups, Teubner, (1901).Google Scholar
[2]Room, and Smith, , A generation of the Symplectic Group, Quart. Journ. Math. (2) 9, (1959), 177–182.CrossRefGoogle Scholar