Cover Image

The Thue-Morse substitutions and self-similar groups and algebras

We introduce self-similar algebras and groups closely related to the Thue-Morse sequence, and begin their investigation by describing a~character on them, the `spread' character.

Saved in:

Bibliographic Details
Date:	2023
Main Authors:	Bartholdi, L., Caballero, J. M. R., Ahmed, T.
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2023
Subjects:	self-similar groups self-similar algebras Thue-Morse sequence 11B85 16S34 20E08
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1597
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

Non-contracting groups generated by (3,2)-automata
by: Davis, Nick, et al.
Published: (2018)

Hyperbolic spaces from self-similar group actions
by: Nekrashevych, Volodymyr
Published: (2018)

Identification of Audio Recording Devices Using Statistical Characteristics of the Audio Files
by: Solovyov, V. I.
Published: (2013)

Identification of Voice Characteristics on the Base of Wavelet Transformation Maximums
by: Solovyev, V. I.
Published: (2013)

Units of some group algebras of groups of order \(12\) over any finite field of characteristic \(3\)
by: Gildea, Joe, et al.
Published: (2018)

Defining degree of semantic similarity using description logic tools
by: Zakharova, O.V.
Published: (2021)

Defining degree of semantic similarity using description logic tools
by: Zakharova, O.V.
Published: (2021)

On Gardam's and Murray's units in group rings
by: Bartholdi, L.
Published: (2023)

Conic bundles over real formal power series field
by: Bazyleu, Dzmitry F., et al.
Published: (2018)

Semisimple group codes and dihedral codes
by: Dutra, Flaviana S., et al.
Published: (2018)

Periods of Tribonacci sequences and elliptic curves
by: AIt-Amrane, Lyes, et al.
Published: (2018)

Transmission spectra of electrons through the Thue–Morse graphene superlattice
by: A. N. Korol
Published: (2014)

ON THE CONGRUENCE OF THE FORMATION OF METAMORPHOGENIC COMPLEXES OF THE SOROKYNSKA ZONE, GRANODIORITES OF THE OSYPENKIVSKY MASSIF AND THE PEGMATITE NODE OF BALKA KRUTA (AZOV MEGABLOCK OF THE UKRAINIAN SHIELD)
by: Osmachko, L.S.
Published: (2020)

COMPARISON AND PETROCHEMICAL CORRELATION OF SIMILAR GRANITOID FORMATIONS OF WESTERN TRANSBAIKALIA AND THE UKRAINIAN SHIELD
by: KOSTENKO, N.V., et al.
Published: (2013)

Indecomposable and irreducible \(t\)-monomial matrices over commutative rings
by: Bondarenko, Vitaliy Mykhaylovych, et al.
Published: (2016)

Construction of self-dual binary \([2^{2k},2^{2k-1},2^k]\)-codes
by: Hannusch, Carolin, et al.
Published: (2016)

A note on the differential smoothness of skew PBW extensions
by: Rubiano, Andrés, et al.
Published: (2026)

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

On groups with biprimary subgroups of even order
by: Sokhor, Irina
Published: (2017)

Extended binary Golay codes by a group algebra
by: Bortos, Maria Yu., et al.
Published: (2024)

On radical square zero rings
by: Ringel, Claus Michael, et al.
Published: (2018)

Trivial units in commutative group rings of \(G\times C_{n}\)
by: Küsmüş, Ömer
Published: (2024)

EXPERIMENTAL RESEARCH ON AIR INJECTION INTO AQUACIER OF REDUCED PRESSURE OF FORMATION WATER
by: Morozov, Yu., et al.
Published: (2025)

Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra
by: Mathonet, P., et al.
Published: (2018)

Automorphisms of finitary incidence rings
by: Khripchenko, Nikolay
Published: (2018)

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

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

Central and non central codes of dihedral 2-groups
by: Gupta, S., et al.
Published: (2022)

Development of domain thesaurus as a set of ontology concepts with use of semantic similarity and elements of combinatorial optimization
by: Rogushina, J.V., et al.
Published: (2021)

Finitely presented quadratic algebras of~intermediate growth
by: Koçak, Dilber
Published: (2015)

Random walks on finite groups converging after finite number of steps
by: Vyshnevetskiy, A. L., et al.
Published: (2018)

ON THE SIMILARITY OF PLANE PULSED MAGNETIC FIELDS CONTINUED FROM DIFFERENT COORDINATE AXES
by: Mikhailov, V. M.
Published: (2020)

On Sushchansky \(p\)-groups
by: Bondarenko, Ievgen V., et al.
Published: (2018)

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

The generalized path algebras over standardly stratified algebras
by: Wang, Shugui
Published: (2018)

Method of the coherence evaluation of Ukrainian text.
by: Pogorilyy, S. D., et al.
Published: (2019)

SELF-ORGANIZATION OF STRUCTURE OF WATER EXCHANGE AS A SYSTEM-FORMING PROPERTY OF KARST
by: KLIMCHOUK, A. B.
Published: (2011)

On the number of topologies on a finite set
by: Kizmaz, M. Yasir
Published: (2019)

Some properties of the commutators of special linear quantum groups
by: Atteya, Mehsin Jabel
Published: (2024)

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