Binary p-adic-group

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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.



[a1] B. Huppert, "Endliche Gruppen" , 1 , Springer (1979) pp. 482–490
How to Cite This Entry:
Binary p-adic-group. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by A.I. Kostrikin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article