Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Maximum sum element orders of all proper subgroups of PGL(2, q)

Document Type : Research Paper

Author
Zanjan University
Abstract
In this paper we show that if q is a power of a prime
p , then the projective special linear group PSL(2, q) and the stabilizer
of a point of the projective line have maximum sum element
orders among all proper subgroups of projective general linear
group PGL(2, q) for q odd and even respectively
Keywords

Subjects


  • Receive Date 22 September 2011
  • Revise Date 21 April 2012
  • Accept Date 27 April 2012