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Counting symmetric nilpotent matrices

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Publication:405186
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zbMath1297.15020MaRDI QIDQ405186

Andries E. Brouwer, John Sheekey, Roderick Gow

Publication date: 4 September 2014

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v21i2p4

zbMATH Keywords

enumerationnilpotent matricesendomorphismnondegenerate symmetric bilinear form


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Quadratic and bilinear forms, inner products (15A63)


Related Items

On the idempotents, nilpotents, units and zero-divisors of finite rings, Nilpotent cone over a finite field and hypergeometric \(q\)-series, The Probability That an Operator Is Nilpotent



Cites Work

  • Unnamed Item
  • The probability that a matrix be nilpotent
  • On the number of nilpotent matrices with coefficients in a finite field
  • Counting nilpotent endomorphisms
  • The Steinberg function of a finite Lie algebra
  • A Note on Counting Nilpotent Matrices of Fixed Rank
  • Endomorphisms of linear algebraic groups
  • Symmetric and Alternate Matrices in An Arbitrary Field, I
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