Abstract
This paper is concerned with the presentation of certain elements of the groupSL(n,K) as products of a minimal number of transvections. To explain the terminology, letVbe ann-dimensional left vector space over a (not necessarily commutative) fieldK. The group of all non-singular linear transformations ofVontoV(i.e. the group of all collineations ofV) is the groupGL(n,K). This group is generated by collineations leaving a hyperplane pointwise fixed. Whenn= 2 these collineations are called axial collineations and the invariant hyperplane (line) is then called an axis.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
