@misc{Bier_Agnieszka_Kaluzhnin's, author={Bier, Agnieszka and Sushchanskyy, Vitaliy}, howpublished={online}, language={eng}, abstract={The paper concerns the Sylow p-subgroups of automorphism groups of level homogeneous rooted trees. We recall and summarize the results obtained by L. Kaluzhnin on the structure of sylow p-subgroups of isometry groups of an ultrametric Cantor p-spaces in terms of automorphism groups of rooted trees. Most of the paper should be viewed as a systematic topical survey, however we include some new ideas in last sections.}, title={Kaluzhnin's representations of Sylow p-subgroups of automorphism groups of p-adic rooted trees}, }