On a generalization of M-group
| Autor: | Le, Tung, Moori, Jamshid, Tong-Viet, Hung P. |
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| Rok vydání: | 2012 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.jalgebra.2012.10.018 |
| Popis: | In this paper, we will show that if for every nonlinear complex irreducible character of a finite group G, some multiple of it is induced from an irreducible character of some proper subgroup of G, then G is solvable. This is a generalization of Taketa's Theorem on the solvability of M-group. Comment: 17 pages, to appear in J. Algebra |
| Databáze: | arXiv |
| Externí odkaz: |
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