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On schemes originated from Ferrero pairs | ||
| Transactions on Combinatorics | ||
| مقاله 3، دوره 2، شماره 2، شهریور 2013، صفحه 19-26 اصل مقاله (325.69 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2013.2869 | ||
| نویسندگان | ||
| Hossein Moshtagh1؛ Amir Rahnamai Barghi* 2 | ||
| 1Department of Mathematics, K. N. Toosi University of Technology, | ||
| 2K. N. Toosi university of Technology University, Tehran-Iran. | ||
| چکیده | ||
| The Frobenius complement of a given Frobenius group acts on its kernel. The scheme which is arisen from the orbitals of this action is called Ferrero pair scheme. In this paper, we show that the fibers of a Ferrero pair scheme consist of exactly one singleton fiber and every two fibers with more than one point have the same cardinality. Moreover, it is shown that the restriction of a Ferrero pair scheme on each fiber is isomorphic to a regular scheme. Finally, we prove that for any prime $p$, there exists a Ferrero pair $p$-scheme, and if $p> 2$, then the Ferrero pair $p$-schemes of the same rank are all isomorphic. | ||
| کلیدواژهها | ||
| Frobenius Group؛ Oribtal؛ Scheme | ||
| مراجع | ||
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