Том 71
№ 11

All Issues

Leonov Yu. G.

Articles: 1
Article (Russian)

On the representation of groups approximated by finite p-groups

Leonov Yu. G.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2011. - 63, № 11. - pp. 1501-1511

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.