A GENERALIZATION OF FEIT'S THEOREM,
Abstract
This paper is part of a doctoral thesis titled-Finite Linear Groups in Six Variables. It is shown that I can prove that if p is a prime greater than five with p -1(mod 4), and G is a finite group with faithful complex representation of degree smaller than both 4p/3 and 3(p - 1)/2, then G has a normal p-subgroup of index in G divisible at most by p squared. These methods are particularly effective when there is nontrivial intersection of p-Sylow subgroups. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1969
- Accession Number
- AD0691865
Entities
People
- J. H. Lindsey Ii
Organizations
- RAND Corporation