Cover Image

Infinitely iterated wreath products of metric spaces

The construction of the finitary wreath product of metric spaces and its completion, the infinitely iterated wreath product of metric spaces are introduced. They full isometry groups are described. Some properties and examples of these constructions are considered.

Saved in:

Bibliographic Details
Date:	2018
Main Author:	Oliynyk, Bogdana
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2018
Subjects:	Metric space Wreath product Isometry group 54E40 54B10 54H15 20E22
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/734
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics

Similar Items

Wreath product of metric spaces
by: Oliynyk, Bogdana
Published: (2018)

Some more algebra on ultrafilters in metric spaces
by: Protasov, Igor Vladimirovich
Published: (2018)

On representations of permutations groups as isometry groups of \(n\)-semimetric spaces
by: Gerdiy, Oleg, et al.
Published: (2018)

An amalgamation property for metric groups
by: Popowicz, J., et al.
Published: (2022)

A geometrical interpretation of infinite wreath powers
by: Mikaelian, Vahagn H.
Published: (2018)

The comb-like representations of cellular ordinal balleans
by: Protasov, Igor, et al.
Published: (2016)

Balleans of bounded geometry and G-spaces
by: Protasov, Igor V.
Published: (2018)

On subgroups of saturated or totally bounded paratopological groups
by: Banakh, Taras, et al.
Published: (2018)

Uniform ball structures
by: Protasov, I. V.
Published: (2018)

On monoids of monotone injective partial selfmaps of \(L_n\times_{\operatorname{lex}}\mathbb{Z}\) with co-finite domains and images
by: Gutik, Oleg, et al.
Published: (2018)

On a stronger notion of connectedness in c-spaces
by: Santhosh, P. K.
Published: (2023)

The center of the wreath product of symmetric group algebras
by: Tout, O.
Published: (2021)

Topological semigroups of matrix units
by: Gutik, Oleg V., et al.
Published: (2018)

Pseudodiscrete balleans
by: Protasova, O. I.
Published: (2018)

On Kaluzhnin-Krasner’s embedding of groups
by: Olshanskii, A. Yu.
Published: (2018)

Conjugacy in finite state wreath powers of finite permutation groups
by: Oliynyk, Andriy, et al.
Published: (2019)

Groups of linear automata
by: Oliynyk, Andriy
Published: (2018)

Algebra in the Stone-\(\check{C}\)ech compactification: applications to topologies on groups
by: Protasov, I. V.
Published: (2018)

On a semitopological polycyclic monoid
by: Bardyla, Serhii, et al.
Published: (2016)

Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups
by: Daugulis, Peteris
Published: (2017)

On unicyclic graphs of metric dimension \(2\)
by: Dudenko, Margaryta, et al.
Published: (2017)

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)

Binary coronas of balleans
by: Protasov, I. V.
Published: (2018)

On unicyclic graphs of metric dimension 2 with vertices of degree 4
by: Dudenko, Marharyta, et al.
Published: (2019)

Finite groups as groups of automata with no cycles with exit
by: Russyev, Andriy
Published: (2018)

A note on semidirect products and nonabelian tensor products of groups
by: Nakaoka, Irene N., et al.
Published: (2018)

On recurrence in \(G\)-spaces
by: Protasov, Igor V., et al.
Published: (2017)

ГЕОЛОГІЧНА БУДОВА ТРІАСОВИХ ВІДКЛАДІВ УКРАЇНСЬКОГО СЕКТОРА АКВАТОРІЙ ЧОРНОГО ТА АЗОВСЬКОГО МОРІВ
by: Dovzhok, T.
Published: (2012)

Coarse structures on groups defined by conjugations
by: Protasov, I., et al.
Published: (2021)

The action of Sylow 2-subgroups of symmetric groups on the set of bases and the problem of isomorphism of their Cayley graphs
by: Pawlik, Bartłomiej Tadeusz
Published: (2016)

Finite automaton actions of free products of groups
by: Fedorova, Mariia, et al.
Published: (2017)

S. N. Chernikov and the development of infinite group theory
by: Dixon, M. R., et al.
Published: (2018)

On groups whose subgroups of infinite special rank are transitively normal
by: Semko, Nicolai N., et al.
Published: (2017)

On the non–periodic groups, whose subgroups of infinite special rank are transitively normal
by: Kurdachenko, L. A., et al.
Published: (2020)

On a semigroup of closed connected partial homeomorphisms of the unit interval with a fixed point
by: Chuchman, Ivan
Published: (2018)

Cyber Resilience Key Metrics in Small and Medium-Sized Enterprises
by: Deruma, Sintija
Published: (2025)

On a finite state representation of \(GL(n,\mathbb{Z})\)
by: Oliynyk, A., et al.
Published: (2023)

Abnormal subgroups and Carter subgroups in some infinite groups
by: Kurdachenko, L. A., et al.
Published: (2018)

Classification of the local isometry groups of rooted tree boundaries
by: Lavrenyuk, Yaroslav
Published: (2018)

Kaluzhnin's representations of Sylow \(p\)-subgroups of automorphism groups of \(p\)-adic rooted trees
by: Bier, Agnieszka, et al.
Published: (2018)