Hall subgroups of $M$-groups need not be $M$-groups
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- by Hiroshi Fukushima PDF
- Proc. Amer. Math. Soc. 133 (2005), 671-675 Request permission
Abstract:
In this paper, we shall give examples of $M$-groups that have Hall subgroups that are not $M$-groups.References
- Everett C. Dade, Normal subgroups of $M$-groups need not be $M$-groups, Math. Z. 133 (1973), 313–317. MR 325748, DOI 10.1007/BF01177871
- Everett C. Dade, Monomial characters and normal subgroups, Math. Z. 178 (1981), no. 3, 401–420. MR 635210, DOI 10.1007/BF01214878
- Larry Dornhoff, $M$-groups and $2$-groups, Math. Z. 100 (1967), 226–256. MR 217174, DOI 10.1007/BF01109806
- I. Martin Isaacs, Character theory of finite groups, Pure and Applied Mathematics, No. 69, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1976. MR 0460423
- I. Martin Isaacs, Primitive characters, normal subgroups, and $M$-groups, Math. Z. 177 (1981), no. 2, 267–284. MR 612879, DOI 10.1007/BF01214205
- Robert W. van der Waall, On the embedding of minimal non-$M$-groups, Nederl. Akad. Wetensch. Proc. Ser. A 77=Indag. Math. 36 (1974), 157–167. MR 0352237
Additional Information
- Hiroshi Fukushima
- Affiliation: Department of Mathematics, Faculty of Education, Gunma University Maebashi, Gunma 371-8510, Japan
- Email: fukusima@edu.gunma-u.ac.jp
- Received by editor(s): June 23, 2003
- Received by editor(s) in revised form: October 29, 2003
- Published electronically: August 24, 2004
- Communicated by: Jonathan I. Hall
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 671-675
- MSC (2000): Primary 20C15
- DOI: https://doi.org/10.1090/S0002-9939-04-07645-2
- MathSciNet review: 2113913