A problem on conjugacy of matrices

Moshe Roitman

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

A problem on conjugacy of matrices

Moshe Roitman

Research output: Contribution to journal › Article › peer-review

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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title = "A problem on conjugacy of matrices",

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.",

author = "Moshe Roitman",

year = "1978",

doi = "10.1016/0024-3795(78)90007-1",

language = "English",

volume = "19",

pages = "87--89",

journal = "Linear Algebra and Its Applications",

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AU - Roitman, Moshe

PY - 1978

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N2 - 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.

AB - 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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DO - 10.1016/0024-3795(78)90007-1

M3 - Article

AN - SCOPUS:0042581155

SN - 0024-3795

VL - 19

SP - 87

EP - 89

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1

ER -

A problem on conjugacy of matrices

Abstract

ASJC Scopus subject areas

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