Counting Matrices by Drazin Index

DOI10.1137/0603003zbMath0493.15004OpenAlexW2001523258MaRDI QIDQ3955513

Joel V. Brawley

Publication date: 1982

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0603003

zbMATH Keywords

Drazin inversenilpotent matricesmatrices over finite fieldsgroup inversesDrazin indexHill cryptographic system

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Permutations, words, matrices (05A05) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Cites Work

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• The probability that a matrix be nilpotent
• Scalar polynomial equations for matrices over a finite field
• On the number of nilpotent matrices with coefficients in a finite field
• The multiplicative groups of a ring
• Pseudo-Inverses in Associative Rings and Semigroups
• APPLICATIONS OF THE DRAZIN INVERSE TO THE HILL CRYPTOGRAPHIC SYSTEM. PART I.
• A Note on Counting Nilpotent Matrices of Fixed Rank

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