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

Document Type : Research Paper


Zanjan University


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


Main Subjects