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Cyclicity conditions for division algebras of prime degree |
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| Authors: | M. Mahdavi-Hezavehi J.-P. Tignol |
| Affiliation: | Department of Mathematical Sciences, Sharif University of Technology, P. O. Box 11365--9415, Tehran, Iran ; Institut de Mathématique Pure et Appliquée, Université Catholique de Louvain, 1348 Louvain-la-Neuve, Belgium |
| Abstract: | Let  be a division algebra of prime degree  . A set of criteria is given for cyclicity of  in terms of subgroups of the multiplicative group  of  . It is essentially shown that  is cyclic if and only if  contains a nonabelian metabelian subgroup. |
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