Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Primitive characters of subgroups of $M$-groups

Author: Mark L. Lewis
Journal: Proc. Amer. Math. Soc. 125 (1997), 27-33
MSC (1991): Primary 20C15
MathSciNet review: 1353389
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $G$ be an $M$-group, let $S$ be a subnormal subgroup of $G$, and let $H$ be a Hall subgroup of $S$. If the character $\gamma \in \operatorname {Irr}(H)$ is primitive, then $\gamma (1)$ is a power of 2. Furthermore, if $|G:S|$ is odd, then $\gamma (1)=1$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 20C15

Retrieve articles in all journals with MSC (1991): 20C15

Additional Information

Mark L. Lewis
Affiliation: Department of Mathematics, 400 Carver Hall, Iowa State University, Ames, Iowa 50011

PII: S 0002-9939(97)03625-3
Received by editor(s): June 26, 1995
Communicated by: Ronald M. Solomon
Article copyright: © Copyright 1997 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia