# Diagonal group

From Encyclopedia of Mathematics

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A group of non-degenerate diagonal matrices. The group of matrices conjugate with a diagonal group is known as a diagonizable linear group.

#### References

[1] | M.I. Kargapolov, J.I. [Yu.I. Merzlyakov] Merzljakov, "Fundamentals of the theory of groups" , Springer (1979) (Translated from Russian) MR0551207 Zbl 0549.20001 |

#### Comments

For the role of diagonizable groups in the theory of linear algebraic groups (cf. Linear algebraic group) see [a1].

#### References

[a1] | A. Borel, "Linear algebraic groups" , Benjamin (1969) MR0251042 Zbl 0206.49801 Zbl 0186.33201 |

**How to Cite This Entry:**

Diagonal group.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Diagonal_group&oldid=21835

This article was adapted from an original article by Yu.I. Merzlyakov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article