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Structure of normal subgroups with three G-class sizes |
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| Authors: | Z Akhlaghi A Beltrán M J Felipe M Khatami |
| Institution: | 3. Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 15914, Tehran, Iran 1. Departamento de Matem??ticas, Universidad Jaume I, 12071, Castell??n, Spain 2. Instituto Universitario de Matem??tica Pura y Aplicada, Universidad Polit??cnica de Valencia, 46022, Valencia, Spain |
| Abstract: | Let G be a finite group and N be a normal subgroup of G. Suppose that the set of G-conjugacy class sizes of N is {1, m, n}, with m?<?n and m does not divide n. In this paper, we show that N is solvable, and we determine the structure of these subgroups. |
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