Conjugation in the group of local isomers of the boundary of a locally finite rooted tree
Lavreniuk Yaroslav Vasilyovich
1
1 Research Department, Taras Shevchenko National University of Kyiv , Kyiv , 02000, Ukraine
Keywords:
the group of local isomers of the boundary, a locally finite rooted tree
Abstract
We established criterion of conjugacy in the full local isometry group of the rooted tree boundary LIsom∂T. We also showed that the group LIsom∂T is ambivalent in the case of homogeneous rooted tree.
References
[1] Lavrenyuk Ya. On Automorphisms of Local Isometry Groups of Compact Ultrametric Spaces// International Journal of Algebra and Computation. - 2005. - 15 , N5-6. - C.1013-1024.
[2] Gawron P., Nekrashevych V. and Sushchansky V. Conjugation in tree automorphism groups// International Journal of Algebra and Computation. - 2001. - 11 , N5. - C.529-547.
[3] Bezushchak O.E., Sushchansky V.I. Conjugacy in isometry groups of generalized Berov metrics // Ukr. mat. zhur. - 1991. - 43, N 9. - P. 1148-1155.
Cite
- ACS Style
- Lavreniuk, Y.V. Conjugation in the group of local isomers of the boundary of a locally finite rooted tree. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Lavreniuk YV. Conjugation in the group of local isomers of the boundary of a locally finite rooted tree. Bukovinian Mathematical Journal. 2018; 1(336).
- Chicago/Turabian Style
- Yaroslav Vasilyovich Lavreniuk. 2018. "Conjugation in the group of local isomers of the boundary of a locally finite rooted tree". Bukovinian Mathematical Journal. 1 no. 336.
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