THE CLASSIFICATION OF SOME MODULAR FROBENIUS GROUPS

JUANJUAN FAN, NI DU, JIWEN ZENG
2011 Bulletin of the Australian Mathematical Society  
Fix a prime number p. Let G be a p-modular Frobenius group with kernel N which is the minimal normal subgroup of G. We give the complete classification of G when N has three, four or five p-regular conjugacy classes. We also determine the structure of G when N has more than five p-regular conjugacy classes. 2010 Mathematics subject classification: primary 20C20; secondary 20E45.
doi:10.1017/s0004972711002486 fatcat:xfsbjkmdyfa5dhopmmfclbkr3a