The Group of all nonsingular Stochastic Matrices over a Field .
It is denoted . If is Prime and is the Galois Field of Order ,
is written instead of . Particular examples include

where is an Abelian Group, are Symmetric Groups on elements, and denotes the semidirect product with (Poole 1995).

**References**

Poole, D. G. ``The Stochastic Group.'' *Amer. Math. Monthly* **102**, 798-801, 1995.

© 1996-9

1999-05-26