A GENERALIZATION OF FEIT'S THEOREM

A GENERALIZATION OF FEIT'S THEOREM

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 norma...

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Bibliographische Detailangaben
1. Verfasser: Lindsey,J. H. , II
Format: Report
Sprache:eng
Schlagworte:
ABELIAN GROUPS
GROUPS(MATHEMATICS)
HOMOMORPHISMS
INVARIANCE
PRIME NUMBERS
SYLOW GROUPS
THEOREMS
Theoretical Mathematics
THESES
VECTOR SPACES
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Zusammenfassung: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)