Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

On Hurwitz extensions by PSL2(7)

Jeffrey M. Cohena1

a1 University of Pittsburgh


In this paper, a new family of factors of (2, 3, 7) is obtained which contains groups found in three other papers. It is shown that for all n, there exists an m such that there are at least n isomorphism types of Hurwitz groups of order m. Finally, presentations for all groups considered are obtained.

(Received March 02 1979)

(Revised May 04 1979)