Accession Number : AD0691865

Title :   A GENERALIZATION OF FEIT'S THEOREM,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Lindsey,J. H. , II

Report Date : AUG 1969

Pagination or Media Count : 22

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)

Descriptors :   (*GROUPS(MATHEMATICS), THEOREMS), PRIME NUMBERS, VECTOR SPACES, INVARIANCE, THESES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE