On the representation of groups approximated by finite <i>p</i>-groups

  • Yu. G. Leonov Одес. нац. акад. связи


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.
How to Cite
Leonov, Y. G. “On the Representation of Groups Approximated by Finite <i>p</I&gt;-Groups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, no. 11, Nov. 2011, pp. 1501-1, https://umj.imath.kiev.ua/index.php/umj/article/view/2820.
Research articles