A problem on conjugacy of matrices

Moshe Roitman

doi:10.1016/0024-3795(78)90007-1

A problem on conjugacy of matrices

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Abstract

Let F be an infinite field and n≥12. Then the number of conjugacy classes of the upper triangular nilpotent matrices in M_n(F) under action by the subgroup of GL_n(F) consisting of all the upper triangular matrices is infinite.

Original language	English
Pages (from-to)	87-89
Number of pages	3
Journal	Linear Algebra and Its Applications
Volume	19
Issue number	1
DOIs	https://doi.org/10.1016/0024-3795(78)90007-1
State	Published - 1978
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/0024-3795(78)90007-1

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abstract = "Let F be an infinite field and n≥12. Then the number of conjugacy classes of the upper triangular nilpotent matrices in Mn(F) under action by the subgroup of GLn(F) consisting of all the upper triangular matrices is infinite.",

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year = "1978",

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A problem on conjugacy of matrices

Abstract

ASJC Scopus subject areas

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