Title of article :
Groups with Sharp Character of Type {−1,1,3}
Author/Authors :
Abdollahi ، Alireza Department of Pure Mathematics - Faculty of Mathematics and Statistics - University of Isfahan , Bagherian ، Javad Department of Pure Mathematics - Faculty of Mathematics and Statistics - University of Isfahan , Ebrahimi ، Mahdi Department of Mathematics - School of Mathematics - Institute for Research in Fundamental Sciences (IPM) , Mombeni Garmsiri ، Farzaneh Department of Pure Mathematics - Faculty of Mathematics and Statistics - University of Isfahan , Khatami ، Maryam Department of Pure Mathematics - Faculty of Mathematics and Statistics - University of Isfahan , Sobhani ، Reza Department of Applied Mathematics and Computer Science - Faculty of Mathematics andStatistics - University of Isfahan
Abstract :
For a finite group G and its character χ, let Lχ be the image of χ on G −{1}. The pair (G, χ) is said to be sharp of type L if |G| = a∈L(χ(1) − a), where L = Lχ. The pair (G, χ) is said to be normalized if the principal character of G is not an irreducible constituent of χ. In this paper, we study normalized sharp pairs of type L = {−1, 1, 3} proposed by Cameron and Kiyota in [J Algebra 115(1):125–143, 1988], under some additional hypotheses.
Keywords :
Sharp character , Finite group , Normalized pair
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
