Lavrenyuk, Ya. V. On the irreducible systems of generators in the automorphism groups of rooted trees. (Ukrainian. English summary) Zbl 1265.20038 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2012, No. 9, 19-22 (2012). MSC: 20F28 20E08 05C05 20F05 PDFBibTeX XMLCite \textit{Ya. V. Lavrenyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2012, No. 9, 19--22 (2012; Zbl 1265.20038)
Lavrenyuk, Ya. V. On the minimal system of generators in the full automorphism group of a binary rooted tree. (Ukrainian. English summary) Zbl 1265.20037 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2012, No. 7, 35-37 (2012). MSC: 20F28 20E08 05C05 20F05 PDFBibTeX XMLCite \textit{Ya. V. Lavrenyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2012, No. 7, 35--37 (2012; Zbl 1265.20037)
Lavrenyuk, Ya. V. On groups of measure-preserving self-homeomorphisms of Cantor spaces. (Ukrainian. English summary) Zbl 1249.37002 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2012, No. 4, 20-24 (2012). MSC: 37B05 20F50 20B25 05E15 PDFBibTeX XMLCite \textit{Ya. V. Lavrenyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2012, No. 4, 20--24 (2012; Zbl 1249.37002)
Lavrenyuk, Ya. V.; Nekrashevych, V. V. Groups of measure-preserving homeomorphisms of the Cantor set. (Ukrainian. English summary) Zbl 1164.37300 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2008, No. 6, 28-31 (2008). MSC: 37A15 20E08 05C25 37B05 37E25 PDFBibTeX XMLCite \textit{Ya. V. Lavrenyuk} and \textit{V. V. Nekrashevych}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2008, No. 6, 28--31 (2008; Zbl 1164.37300)
Lavrenyuk, Ya. V. The automorphisms of inductive limits with diagonal embeddings of finite symmetric and alternating groups. (Ukrainian. English summary) Zbl 1134.20300 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2007, No. 4, 22-25 (2007). MSC: 20B30 20B35 20E36 PDFBibTeX XMLCite \textit{Ya. V. Lavrenyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2007, No. 4, 22--25 (2007; Zbl 1134.20300)
Lavrenyuk, Ya. V.; Sushchanskij, V. I. Normal structure of the group of local isometries of the boundary of a spherically homogeneous tree. (Russian. English summary) Zbl 1134.20028 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2007, No. 3, 20-24 (2007). MSC: 20E08 20E07 20F14 57S30 05C25 05C05 PDFBibTeX XMLCite \textit{Ya. V. Lavrenyuk} and \textit{V. I. Sushchanskij}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2007, No. 3, 20--24 (2007; Zbl 1134.20028)
Lavrenyuk, Ya. V. Classification of inductive limits of finite symmetric and alternating groups with diagonal embeddings. (Ukrainian. English summary) Zbl 1092.20002 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2005, No. 9, 24-27 (2005). MSC: 20B30 PDFBibTeX XMLCite \textit{Ya. V. Lavrenyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2005, No. 9, 24--27 (2005; Zbl 1092.20002)
Lavrenyuk, Ya. V. Automorphisms of spherically transitive groups of automorphisms of a rooted tree. (Ukrainian. English summary) Zbl 0977.20031 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2000, No. 11, 12-16 (2000). Reviewer: A.P.Petravchuk (Kyïv) MSC: 20F28 20E08 05C25 05C05 PDFBibTeX XMLCite \textit{Ya. V. Lavrenyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2000, No. 11, 12--16 (2000; Zbl 0977.20031)
Bodnarchuk, Yu. V.; Lavrenyuk, Ya. V. The group of automorphisms of the normalizer of the Sylow \(p\)-subgroup of the symmetric group \(S_{p^n}\). (Ukrainian. English summary) Zbl 0956.20035 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1999, No. 7, 7-12 (1999). MSC: 20F28 20B35 20B25 20B30 20D20 PDFBibTeX XMLCite \textit{Yu. V. Bodnarchuk} and \textit{Ya. V. Lavrenyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1999, No. 7, 7--12 (1999; Zbl 0956.20035)