On the finite state automorphism group of a rooted tree
The normalizer of the finite state automorphism group of a rooted homogeneous tree in the full automorphism group of this tree was investigated. General form of elements in the normalizer was obtained and countability of the normalizer was proved.
Saved in:
| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2002 |
| Main Author: | Lavrenyuk, Y. |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2002
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154680 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the finite state automorphism group of a rooted tree / Y. Lavrenyuk // Algebra and Discrete Mathematics. — 2002. — Vol. 1, № 1. — С. 79–87. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
On the finite state automorphism group of a rooted tree
by: Lavrenyuk, Yaroslav
Published: (2018)
by: Lavrenyuk, Yaroslav
Published: (2018)
On conjugacy in groups of finite-state automorphisms of rooted trees
by: Russev, A. V., et al.
Published: (2008)
by: Russev, A. V., et al.
Published: (2008)
Automorphisms of homogeneous symmetric groups and hierarchomorphisms of rooted trees
by: Lavrenyuk, Yaroslav V., et al.
Published: (2018)
by: Lavrenyuk, Yaroslav V., et al.
Published: (2018)
A note to our paper “Automorphisms of homogeneous symmetric groups and hierarchomorphisms of rooted trees”
by: Lavrenyuk, Y.V., et al.
Published: (2005)
by: Lavrenyuk, Y.V., et al.
Published: (2005)
Classification of the local isometry groups of rooted tree boundaries
by: Lavrenyuk, Y.
Published: (2007)
by: Lavrenyuk, Y.
Published: (2007)
On the minimal system of generatrices in the full automorphism group of a binary rooted tree
by: Ya. V. Lavreniuk
Published: (2012)
by: Ya. V. Lavreniuk
Published: (2012)
Classification of the local isometry groups of rooted tree boundaries
by: Lavrenyuk, Yaroslav
Published: (2018)
by: Lavrenyuk, Yaroslav
Published: (2018)
Spectral properties of partial automorphisms of a binary rooted tree
by: Kochubinska, E.
Published: (2018)
by: Kochubinska, E.
Published: (2018)
Spectral properties of partial automorphisms of a binary rooted tree
by: Kochubinska, Eugenia
Published: (2019)
by: Kochubinska, Eugenia
Published: (2019)
Kaluzhnin's representations of Sylow \(p\)-subgroups of automorphism groups of \(p\)-adic rooted trees
by: Bier, Agnieszka, et al.
Published: (2018)
by: Bier, Agnieszka, et al.
Published: (2018)
Dynamics of finite groups acting on the boundary of homogenous rooted tree
by: Szaszkowski, Z.
Published: (2003)
by: Szaszkowski, Z.
Published: (2003)
Dynamics of finite groups acting on the boundary of homogenous rooted tree
by: Szaszkowski, Zbigniew
Published: (2018)
by: Szaszkowski, Zbigniew
Published: (2018)
Free products of finite groups acting on regular rooted trees
by: Gupta, C.K., et al.
Published: (2007)
by: Gupta, C.K., et al.
Published: (2007)
Kaluzhnin's representations of Sylow p-subgroups of automorphism groups of p-adic rooted trees
by: A. Bier, et al.
Published: (2015)
by: A. Bier, et al.
Published: (2015)
Finite groups admitting a dihedral group of automorphisms
by: G. Ercan, et al.
Published: (2017)
by: G. Ercan, et al.
Published: (2017)
Finite groups admitting a dihedral group of automorphisms
by: Ercan, G., et al.
Published: (2017)
by: Ercan, G., et al.
Published: (2017)
On the graph groups of groups of automorphisms of finite graphs
by: Davуdоv, E. G., et al.
Published: (1966)
by: Davуdоv, E. G., et al.
Published: (1966)
On the invariants of root subgroups of finite classical groups
by: Jizhu Nan, et al.
Published: (2013)
by: Jizhu Nan, et al.
Published: (2013)
On the Invariants of Root Subgroups of Finite Classical Groups
by: Nan, Jizhu, et al.
Published: (2013)
by: Nan, Jizhu, et al.
Published: (2013)
On the group of unitriangular automorphisms of the polynomial ring in two variables over a finite field
by: Leshchenko, Yuriy Yu., et al.
Published: (2018)
by: Leshchenko, Yuriy Yu., et al.
Published: (2018)
On the group of unitriangular automorphisms of the polynomial ring in two variables over a finite field
by: Yu. Leshchenko, et al.
Published: (2014)
by: Yu. Leshchenko, et al.
Published: (2014)
A group of data base automorphisms
by: Maftsir , E. S., et al.
Published: (1988)
by: Maftsir , E. S., et al.
Published: (1988)
On automorphism groups of some modules
by: Dashkova, O. Yu.
Published: (2018)
by: Dashkova, O. Yu.
Published: (2018)
On the automorphism of some classes of groups
by: Hashemi, M., et al.
Published: (2009)
by: Hashemi, M., et al.
Published: (2009)
Algebraic Structures on Typed Decorated Rooted Trees
by: Foissy, Loïc
Published: (2021)
by: Foissy, Loïc
Published: (2021)
The structure of automorphism groups of semigroup inflations
by: Kudryavtseva, Ganna
Published: (2018)
by: Kudryavtseva, Ganna
Published: (2018)
The structure of automorphism groups of semigroup inflations
by: Kudryavtseva, G.
Published: (2007)
by: Kudryavtseva, G.
Published: (2007)
Automorphisms of groups of order $p^5$
by: Pechenyuk, О. V., et al.
Published: (1995)
by: Pechenyuk, О. V., et al.
Published: (1995)
Automorphisms of a finitary factor power of an infinite symmetric group
by: Hudzenko, S. V., et al.
Published: (2010)
by: Hudzenko, S. V., et al.
Published: (2010)
On the Existence of a Noninner Automorphism of Order $p$ for $p$-Groups
by: Bondarchuk, L. Yu., et al.
Published: (2001)
by: Bondarchuk, L. Yu., et al.
Published: (2001)
Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree
by: Stronska, Anna
Published: (2018)
by: Stronska, Anna
Published: (2018)
Diagonal direct limits of finite symmetric and alternating groups
by: Lavrenyuk, Y.V., et al.
Published: (2010)
by: Lavrenyuk, Y.V., et al.
Published: (2010)
Automorphism groups of tetravalent Cayley graphs on minimal non-abelian groups
by: Ghasemi, Mohsen
Published: (2018)
by: Ghasemi, Mohsen
Published: (2018)
Automorphism groups of tetravalent Cayley graphs on minimal non-abelian groups
by: M. Ghasemi
Published: (2012)
by: M. Ghasemi
Published: (2012)
Automorphism groups of tetravalent Cayley graphs on minimal non-abelian groups
by: Ghasemi, M.
Published: (2012)
by: Ghasemi, M.
Published: (2012)
On the automorphism groups for some Leibniz algebras of low dimensions
by: L. A. Kurdachenko, et al.
Published: (2022)
by: L. A. Kurdachenko, et al.
Published: (2022)
The description of the automorphism groups of finitedimensional cyclic Leibniz algebras
by: L. A. Kurdachenko, et al.
Published: (2022)
by: L. A. Kurdachenko, et al.
Published: (2022)
Triangle Groups: Automorphic Forms and Nonlinear Differential Equations
by: Ashok, Sujay K., et al.
Published: (2020)
by: Ashok, Sujay K., et al.
Published: (2020)
Twisted conjugacy classes of Automorphisms of Baumslag-Solitar groups
by: Fel’shtyn, Alexander, et al.
Published: (2018)
by: Fel’shtyn, Alexander, et al.
Published: (2018)
Twisted conjugacy classes of Automorphisms of Baumslag-Solitar groups
by: Fel’shtyn, A., et al.
Published: (2006)
by: Fel’shtyn, A., et al.
Published: (2006)
Similar Items
-
On the finite state automorphism group of a rooted tree
by: Lavrenyuk, Yaroslav
Published: (2018) -
On conjugacy in groups of finite-state automorphisms of rooted trees
by: Russev, A. V., et al.
Published: (2008) -
Automorphisms of homogeneous symmetric groups and hierarchomorphisms of rooted trees
by: Lavrenyuk, Yaroslav V., et al.
Published: (2018) -
A note to our paper “Automorphisms of homogeneous symmetric groups and hierarchomorphisms of rooted trees”
by: Lavrenyuk, Y.V., et al.
Published: (2005) -
Classification of the local isometry groups of rooted tree boundaries
by: Lavrenyuk, Y.
Published: (2007)