TY - JOUR AU - Ghorbany, M. PY - 2011 TI - Quasi-Permutation Representations for the Borel and Maximal Parabolic Subgroups of \(Sp(4,2^n)\) JO - Journal of Mathematics and Computer Science SP - 165--175 VL - 3 IS - 2 AB - A square matrix over the complex field with non-negative integral trace is called a quasi-permutation matrix.Thus every permutation matrix over C is a quasi-permutation matrix . The minimal degree of a faithful representation of G by quasi-permutation matrices over the complex numbers is denoted by c(G), and r(G) denotes the minimal degree of a faithful rational valued complex character of G . In this paper c(G) and r(G) are calculated for the Borel or maximal parabolic subgroups of \( SP(4,2^f)\) . SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.03.02.08 DO - 10.22436/jmcs.03.02.08 ID - Ghorbany2011 ER - TY - JOUR TI - Quasi-permutation representations of p-groups of class 2 AU - H. Behravesh JO - J. London Math. Soc. PY - 1997 DA - 1997// VL - 55 ID - Behravesh 1997 ER - TY - JOUR TI - On quasi-permutation representations of finite groups AU - J. M. Burns AU - B. Goldsmith AU - B. Hartley AU - R. Sandling JO - Glasgow Math. J. PY - 1994 DA - 1994// VL - 36 ID - Burns1994 ER - TY - JOUR TI - Quasi-permutation representation of the group \(GL(2,q)\) AU - M. R. Darafsheh AU - M. Ghorbany AU - A. Daneshkhah AU - H. Behravesh JO - Journal of Algebra PY - 2001 DA - 2001// VL - 243 ID - Darafsheh2001 ER - TY - JOUR TI - Quasi-permutation representations of the groups \(SU (3, q^2)\) and \(PSU(3,q^2 ) \) AU - M. R. Darafsheh AU - M. Ghorbany JO - Southest Asian Bulletin of Mathemetics PY - 2003 DA - 2003// VL - 26 ID - Darafsheh2003 ER - TY - JOUR TI - Quasi-permutation representations of the groups \(SL(3,q)\) and \(PSL(3,q)\) AU - M. R. Darafsheh AU - M. Ghorbany JO - Iranian Journal of Science and Technology Trans. A -Sci. PY - 2002 DA - 2002// VL - 26 ID - Darafsheh2002 ER - TY - JOUR TI - The characters of the finite symplectic group \(SP(4, q), q = 2^f\) AU - H. Enomoto JO - Osaka J. Math. PY - 1972 DA - 1972// VL - 9 ID - Enomoto1972 ER - TY - JOUR TI - Special representations of the group \(G_2(2^n)\) with minimal degrees AU - M. Ghorbany JO - Southest Asian Bulletin of Mathemetics PY - 2006 DA - 2006// VL - 30 ID - Ghorbany2006 ER - TY - JOUR TI - Linear groups analogous to permutation groups AU - W. J. Wong JO - J. Austral. Math. Soc. (Sec. A) PY - 1963 DA - 1963// VL - 3 ID - Wong1963 ER -