2017
Том 69
№ 6

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On the representation of groups approximated by finite p-groups

Leonov Yu. G.

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Abstract

Faithful triangular representations of finite Kaloujnine $p$-groups are presented. This allows us to obtain a triangular representation of the projective limit $P_p$ of groups $P_{p,n}$. The obtained representation is studied by using a 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.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 11, pp 1706-1718.

Citation Example: Leonov Yu. G. On the representation of groups approximated by finite p-groups // Ukr. Mat. Zh. - 2011. - 63, № 11. - pp. 1501-1511.

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