Geodesic
Kaluzhnin's representations of Sylow $p$-subgroups of automorphism groups of $p$-adic rooted trees
Algebra and discrete mathematics, Tome 19 (2015) no. 1, pp. 19-38

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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 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.
Keywords: Sylow $p$-subgroups of wreath products of groups, homogeneous rooted trees, automorphisms of trees. 
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     author = {Agnieszka Bier and Vitaliy Sushchansky},
     title = {Kaluzhnin's representations of {Sylow} $p$-subgroups of automorphism groups of $p$-adic rooted trees},
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Agnieszka Bier; Vitaliy Sushchansky. Kaluzhnin's representations of Sylow $p$-subgroups of automorphism groups of $p$-adic rooted trees. Algebra and discrete mathematics, Tome 19 (2015) no. 1, pp. 19-38. http://geodesic.mathdoc.fr/item/ADM_2015_19_1_a3/