TY - JOUR
ID - 2869
TI - On schemes originated from Ferrero pairs
JO - Transactions on Combinatorics
JA - TOC
LA - en
SN - 2251-8657
AU - Moshtagh, Hossein
AU - Rahnamai Barghi, Amir
AD - Department of
Mathematics, K. N. Toosi University of Technology,
AD - K. N. Toosi university of Technology University, Tehran-Iran.
Y1 - 2013
PY - 2013
VL - 2
IS - 2
SP - 19
EP - 26
KW - Frobenius Group
KW - Oribtal
KW - Scheme
DO - 10.22108/toc.2013.2869
N2 - 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.
UR - https://toc.ui.ac.ir/article_2869.html
L1 - https://toc.ui.ac.ir/article_2869_9eaaa1dafa631de15cb2c9f513a98e5c.pdf
ER -