ON SCHEMES ORIGINATED FROM FERRERO PAIRS

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MOSHTAGH H.; RAHNAMAI BARGHI A.

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Journal: TRANSACTIONS ON COMBINATORICS Year:2013 | Volume:2 | Issue:2 Page(s): 19-26

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Information Journal Paper

Title

ON SCHEMES ORIGINATED FROM FERRERO PAIRS

Author(s)

MOSHTAGH H. | RAHNAMAI BARGHI A. | Issue Writer Certificate

Keywords

‎FROBENIUS GROUP‎Q2

‎ORIBTALQ2

‎SCHEMEQ2

Abstract

‎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.

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APA: Copy

MOSHTAGH, H., & RAHNAMAI BARGHI, A.. (2013). ON SCHEMES ORIGINATED FROM FERRERO PAIRS. TRANSACTIONS ON COMBINATORICS, 2(2), 19-26. SID. https://sid.ir/paper/213749/en

Vancouver: Copy

MOSHTAGH H., RAHNAMAI BARGHI A.. ON SCHEMES ORIGINATED FROM FERRERO PAIRS. TRANSACTIONS ON COMBINATORICS[Internet]. 2013;2(2):19-26. Available from: https://sid.ir/paper/213749/en

IEEE: Copy

H. MOSHTAGH, and A. RAHNAMAI BARGHI, “ON SCHEMES ORIGINATED FROM FERRERO PAIRS,” TRANSACTIONS ON COMBINATORICS, vol. 2, no. 2, pp. 19–26, 2013, [Online]. Available: https://sid.ir/paper/213749/en

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