# Binary p-adic-group

From Encyclopedia of Mathematics

An infinite group of square matrices of order 2

where are integral -adic numbers (cf. -adic number) satisfying the following conditions:

The quotient groups of such groups of the form , where is the -th member of the lower central series of or the -th term of the derived series (the series of higher commutators of ), are examples of finite -groups having certain extremal properties.

#### Comments

#### References

[a1] | B. Huppert, "Endliche Gruppen" , 1 , Springer (1979) pp. 482–490 |

**How to Cite This Entry:**

Binary p-adic-group.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Binary_p-adic-group&oldid=17899

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