Counting symmetric nilpotent matrices

A.E. Brouwer, R. Gow, J. Sheekey

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)
54 Downloads (Pure)

Abstract

We determine the number of nilpotent matrices of order n over Fq that are self-adjoint for a given nondegenerate symmetric bilinear form, and in particular find the number of symmetric nilpotent matrices. Keywords: Nilpotent; symmetric; matrix; endomorphism; enumeration
Original languageEnglish
Article numberP2.4
Pages (from-to)P2.4-1/16
Number of pages16
JournalThe Electronic Journal of Combinatorics
Volume21
Issue number2
Publication statusPublished - 2014

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