View source for Diagonal group

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

====References====
<table><TR><TD valign="top">[1]</TD> <TD valign="top">  M.I. Kargapolov,   J.I. [Yu.I. Merzlyakov] Merzljakov,   "Fundamentals of the theory of groups" , Springer  (1979)  (Translated from Russian)  {{MR|0551207}} {{ZBL|0549.20001}} </TD></TR></table>



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

====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  A. Borel,   "Linear algebraic groups" , Benjamin  (1969)  {{MR|0251042}} {{ZBL|0206.49801}} {{ZBL|0186.33201}} </TD></TR></table>