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=46063
Binary p-adic-group. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Binary_p-adic-group&oldid=46063
This article was adapted from an original article by A.I. Kostrikin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article