On the representation of groups approximated by finite p-groups

被引：0
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作者：
Yu. G. Leonov
机构：
来源：
Ukrainian Mathematical Journal | 2012年 / 63卷
关键词：
Wreath Product; Projective Limit; Root Vertex; Lower Triangular Matrice; Group Approximate;
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摘要：
We present faithful triangular representations of finite Kaluzhnin p-groups Pp,n over the field of p elements. This enables us to obtain a triangular representation of the projective limit Pp for the groups Pp,n. The obtained representation is studied by using the language of matrix templates specially developed for this purpose. As an example, we present a triangular representation of the well-known self-similar Gupta–Sidki 3-group.
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页码：1706 / 1718
页数：12
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