Primitive characters of subgroups of -groups

Author:
Mark L. Lewis

Journal:
Proc. Amer. Math. Soc. **125** (1997), 27-33

MSC (1991):
Primary 20C15

DOI:
https://doi.org/10.1090/S0002-9939-97-03625-3

MathSciNet review:
1353389

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be an -group, let be a subnormal subgroup of , and let be a Hall subgroup of . If the character is primitive, then is a power of 2. Furthermore, if is odd, then .

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Additional Information

**Mark L. Lewis**

Affiliation:
Department of Mathematics, 400 Carver Hall, Iowa State University, Ames, Iowa 50011

Email:
mllewis@iastate.edu

DOI:
https://doi.org/10.1090/S0002-9939-97-03625-3

Received by editor(s):
June 26, 1995

Communicated by:
Ronald M. Solomon

Article copyright:
© Copyright 1997
American Mathematical Society