
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 titledFinite 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 psubgroup of index in G divisible at most by p squared. These methods are particularly effective when there is nontrivial intersection of pSylow subgroups. (Author)
Descriptors : (*GROUPS(MATHEMATICS), THEOREMS), PRIME NUMBERS, VECTOR SPACES, INVARIANCE, THESES
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE