A 2-generated 2-related group with no non-trivial finite quotients
We construct a 2-generated 2-related group without non-trivial finite factors-groups. This answers a question of J. Button.
Saved in:
| Date: | 2018 |
|---|---|
| Main Authors: | Ol’shanskii, A. Yu., Sapir, M. V. |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
|
| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/847 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete MathematicsSimilar Items
Non-contracting groups generated by (3,2)-automata
by: Davis, Nick, et al.
Published: (2018)
by: Davis, Nick, et al.
Published: (2018)
Free ultra-groups, generators and relations
by: Tolue, Behnaz, et al.
Published: (2020)
by: Tolue, Behnaz, et al.
Published: (2020)
Trivial units in commutative group rings of \(G\times C_{n}\)
by: Küsmüş, Ömer
Published: (2024)
by: Küsmüş, Ömer
Published: (2024)
A Morita context related to finite groups acting partially on a ring
by: Guzman, Jesus Avila, et al.
Published: (2018)
by: Guzman, Jesus Avila, et al.
Published: (2018)
On relations between generalized norms in locally finite groups
by: Lukashova, Tetiana, et al.
Published: (2025)
by: Lukashova, Tetiana, et al.
Published: (2025)
The spectral measure of the Markov operator related to 3-generated 2-group of intermediate growth and its Jacobi parameters
by: Grigorchuk, R. I., et al.
Published: (2018)
by: Grigorchuk, R. I., et al.
Published: (2018)
Central and non central codes of dihedral 2-groups
by: Gupta, S., et al.
Published: (2022)
by: Gupta, S., et al.
Published: (2022)
Description of the center of certain quotients of the Temperley-Lieb algebra of type \(\widetilde{A}_N\)
by: Vlasenko, Masha
Published: (2018)
by: Vlasenko, Masha
Published: (2018)
Differentially trivial and rigid right semi-artinian rings
by: Artemovych, O. D.
Published: (2018)
by: Artemovych, O. D.
Published: (2018)
Classification of irreducible non-dense modules for \(A_{2}^{\left(2\right)}\)
by: Bunke, Thomas
Published: (2018)
by: Bunke, Thomas
Published: (2018)
Inner automorphisms of Lie algebras related with generic \(2\times 2\) matrices
by: Drensky, Vesselin, et al.
Published: (2018)
by: Drensky, Vesselin, et al.
Published: (2018)
On Kaluzhnin-Krasner’s embedding of groups
by: Olshanskii, A. Yu.
Published: (2018)
by: Olshanskii, A. Yu.
Published: (2018)
Some related to pronormality subgroup families and the properties of a group
by: Kirichenko, Vladimir V., et al.
Published: (2018)
by: Kirichenko, Vladimir V., et al.
Published: (2018)
Minimal generating sets and Cayley graphs of Sylow \(p\)-subgroups of finite symmetric groups
by: Slupik, Anna J., et al.
Published: (2018)
by: Slupik, Anna J., et al.
Published: (2018)
On groups of finite normal rank
by: Dashkova, O. Yu.
Published: (2018)
by: Dashkova, O. Yu.
Published: (2018)
On the \(\cal F\) -hypercentre of a finite group
by: Skiba, Alexander N.
Published: (2018)
by: Skiba, Alexander N.
Published: (2018)
Seismic Effects in F2 Region Related to Electron Temperature
by: Sharma, A. K., et al.
Published: (2011)
by: Sharma, A. K., et al.
Published: (2011)
Finite groups with a system of generalized central elements
by: Shemetkova, Olga
Published: (2018)
by: Shemetkova, Olga
Published: (2018)
On the finite state automorphism group of a rooted tree
by: Lavrenyuk, Yaroslav
Published: (2018)
by: Lavrenyuk, Yaroslav
Published: (2018)
Finite groups as groups of automata with no cycles with exit
by: Russyev, Andriy
Published: (2018)
by: Russyev, Andriy
Published: (2018)
Minimal non-\(PC\)-groups
by: Artemovych, Orest D.
Published: (2018)
by: Artemovych, Orest D.
Published: (2018)
Stressed state in a finite cylinder with a circular crack at non-stationary torsion
by: Demydov, O. V., et al.
Published: (2019)
by: Demydov, O. V., et al.
Published: (2019)
Stressed state in a finite cylinder with a circular crack at non-stationary torsion
by: Demydov, O. V., et al.
Published: (2019)
by: Demydov, O. V., et al.
Published: (2019)
A survey on pairwise mutually permutable products of finite groups
by: Ballester-Bolinches, A., et al.
Published: (2018)
by: Ballester-Bolinches, A., et al.
Published: (2018)
On subgroups of finite exponent in groups
by: Artemovych, Orest D.
Published: (2018)
by: Artemovych, Orest D.
Published: (2018)
Invariants of finite solvable groups
by: Monakhov, Victor, et al.
Published: (2018)
by: Monakhov, Victor, et al.
Published: (2018)
Cohomologies of finite abelian groups
by: Drozd, Yuriy A., et al.
Published: (2017)
by: Drozd, Yuriy A., et al.
Published: (2017)
Serial group rings of finite groups. \(p\)-solvability
by: Kukharev, Andrei, et al.
Published: (2018)
by: Kukharev, Andrei, et al.
Published: (2018)
Power graph of finite abelian groups
by: Chelvam, T. Tamizh, et al.
Published: (2018)
by: Chelvam, T. Tamizh, et al.
Published: (2018)
Serial group rings of finite groups. General linear and close groups
by: Kukharev, Andrei, et al.
Published: (2015)
by: Kukharev, Andrei, et al.
Published: (2015)
A virtually 2-step nilpotent group with polynomial geodesic growth
by: Bishop, A., et al.
Published: (2022)
by: Bishop, A., et al.
Published: (2022)
Double-toroidal and \(1\)-planar non-commuting graph of a group
by: Pezzott, J. C. M.
Published: (2023)
by: Pezzott, J. C. M.
Published: (2023)
Relation between geomagnetic field and climate variability. Part 2: Probable mechanism
by: Kilifarska, N., et al.
Published: (2015)
by: Kilifarska, N., et al.
Published: (2015)
Conjugacy in finite state wreath powers of finite permutation groups
by: Oliynyk, Andriy, et al.
Published: (2019)
by: Oliynyk, Andriy, et al.
Published: (2019)
Random walks on finite groups converging after finite number of steps
by: Vyshnevetskiy, A. L., et al.
Published: (2018)
by: Vyshnevetskiy, A. L., et al.
Published: (2018)
A new characterization of finite \(\sigma\)-soluble \(P\sigma T\)-groups
by: Adarchenko, N. M.
Published: (2020)
by: Adarchenko, N. M.
Published: (2020)
\(\mathbf{S}\)-Embedded subgroups in finite groups
by: Ballester-Bolinches, A., et al.
Published: (2018)
by: Ballester-Bolinches, A., et al.
Published: (2018)
On arrangement of subgroups in groups and related topics: some recent developments
by: Subbotin, I. Ya.
Published: (2018)
by: Subbotin, I. Ya.
Published: (2018)
Generators and relations for the semigroups of increasing functions on \(\mathbb{N}\) and \(\mathbb{Z}\)
by: Doroshenko, Vadym
Published: (2018)
by: Doroshenko, Vadym
Published: (2018)
On subgroups which cover or avoid chief factors of a finite group
by: Ballester-Bolinches, A., et al.
Published: (2018)
by: Ballester-Bolinches, A., et al.
Published: (2018)
Similar Items
-
Non-contracting groups generated by (3,2)-automata
by: Davis, Nick, et al.
Published: (2018) -
Free ultra-groups, generators and relations
by: Tolue, Behnaz, et al.
Published: (2020) -
Trivial units in commutative group rings of \(G\times C_{n}\)
by: Küsmüş, Ömer
Published: (2024) -
A Morita context related to finite groups acting partially on a ring
by: Guzman, Jesus Avila, et al.
Published: (2018) -
On relations between generalized norms in locally finite groups
by: Lukashova, Tetiana, et al.
Published: (2025)