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Normal subgroups of |
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| Authors: | S. Akbari M. Mahdavi-Hezavehi |
| Affiliation: | Department of Mathematical Sciences, Sharif University of Technology, P. O. Box 11365-9415, Tehran, Iran ; Department of Mathematical Sciences, Sharif University of Technology, P. O. Box 11365-9415, Tehran, Iran |
| Abstract: | As a generalization of Wedderburn's classic theorem, it is shown that the multiplicative group of a noncommutative finite dimensional division algebra cannot be finitely generated. Also, the following conjecture is investigated: An infinite non-central normal subgroup of  cannot be finitely generated. |
| Keywords: | Division ring normal subgroup finitely generated. |
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