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// Algebra i logika
// Archive
Algebra Logika,
2014
Volume 53,
Number 3,
Pages
295–299
(Mi al636)
This article is cited in
1
paper
The coordinate group of an affine space over a rigid metabelian pro-
$p$
-group
S. G. Afanas'eva
Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
Abstract:
For a finitely generated
$2$
-step solvable
$2$
-graded rigid pro-
$p$
-group
$G$
, the coordinate group of an affine space
$G^m$
is found and the space
$G^m$
is stated to be irreducible in the Zariski topology.
Keywords:
rigid metabelian pro-
$p$
-group, affine space, coordinate group.
UDC:
512.5
Received: 26.06.2014
Fulltext:
PDF file (123 kB)
References
Cited by
English version:
Algebra and Logic, 2014,
53
:3,
187–190
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024