Journal of applied mathematics & informatics

  • 제4권1호
  • /
  • Pages.193-210
  • /
  • 1997
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

COMPUTATION OF THE COMPLEX CHARACTERS OF THE GROUP AUT($GL_7(2)$)

  • M.R.Darafsheh (Department of mathematics and computer sxience Tehran University) ;
  • M.R.Darafsheh (Department of mathematics and computer sxience Tehran University)
  • 발행 : 1997.03.01

⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we find the irreducible complex characters of the automorphism group of the general linear group of degree 7 over a field with two elements. It is shown that this group has 114 irreducible complex characters.

키워드

참고문헌

  1. Math.comput. v.46 no.173 Computing the irreducible characters of the group $GL_6(2)$ M.R.Darafsheh
  2. J.Algebra. v.108 no.1 Characters of the automorphism group of the group $GL_6(2)$ M.R.Darafsheh
  3. J.Algebra v.20 Computation of characters of the Higman-Sims group and its auto-morphism group J.S.Frame
  4. Linear Algebra Appl v.41 The number of equivalence clsses of non-degenerate bilinear and sesquilinear forms over a finite field R.Gow
  5. Proc.London Math.Sco. v.47 no.3 Properties of the characters of the finite general linear group related to the transpose-inverse involution R.Gow
  6. Character Theory of finite groups I.M.Isaacs
  7. LMS lecture note series v.212 An invitation to computational group theory J.Neubuser;C.M.Campbell(edited)
  8. GAP 3.3 Lehrstuhl D fur Mathematik M.Schonert(et al.)
  9. Cand.J.Math. v.12 Automorphisms of finite linear groups R.Steinberg