MacDonald, Gordon W., and L. Livshits. “N-Transitivity and the Complementation Property”. Linear Algebra and Its Applications, vol. 329, no. 1-3, 2001, pp. 157-69, https://doi.org/10.1016/s0024-3795(01)00246-4.

Genre

  • Journal Article
Contributors
Author: MacDonald, Gordon W.
Author: Livshits, L.
Date Issued
2001
Abstract

We investigate the structure of (minimal) n-transitive semigroups of matrices of rank at most n in M-k(F), by considering an equivalent problem regarding certain families of (n - k)-dimensional subspaces of F-k. (C) 2001 Elsevier Science Inc. All rights reserved.

Note

Univ Prince Edward Isl, Dept Math & Comp Sci, Charlottetown, PE C1A 4PE, Canada. Colby Coll, Dept Math, Waterville, ME 04901 USA.; MacDonald, G, Univ Prince Edward Isl, Dept Math & Comp Sci, Charlottetown, PE C1A 4PE, Canada.

NEW YORK; 655 AVENUE OF THE AMERICAS, NEW YORK, NY 10010 USA

ELSEVIER SCIENCE INC

PT: J; CR: DRNOVSEK R, 2000, LINEAR ALGEBRA APPL, V305, P67; NR: 1; TC: 0; J9: LINEAR ALGEBRA APPL; PG: 13; GA: 424LY

Source type: Electronic(1)

Language

  • English

Subjects

  • rank
  • Mathematics, Applied
  • n-transitive
  • complement
  • semigroup
  • transitive
  • Graph
  • subspace
Page range
157-169
Host Title
Linear Algebra and its Applications
Host Abbreviated Title
Linear Alg.Appl.
Volume
329
Issue
1-3
ISSN
0024-3795