Cyclicity conditions for division algebras of prime degree.
| Autor: | M. Mahdavi-Hezavehi, J.-P. Tignol |
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| Zdroj: | Proceedings of the American Mathematical Society; Dec2003, Vol. 131 Issue 12, p3673-3676, 4p |
| Abstrakt: | Let $D$ be a division algebra of prime degree $p$. A set of criteria is given for cyclicity of $D$ in terms of subgroups of the multiplicative group $D^*$ of $D$. It is essentially shown that $D$ is cyclic if and only if $D^*$ contains a nonabelian metabelian subgroup. [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
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