Groups with small cocentralizers
Let \(G\) be a group. If \(S\subseteq G\) is a \(G\)-invariant subset of \(G\), the factor-group \(G/C_G(S)\) is called the cocentralizer of \(S\) in \(G\). In this survey-paper we review some results dealing with the influence of several cocentralizers on the structure of the group, a direction of...
Saved in:
| Date: | 2018 |
|---|---|
| Main Authors: | Otal, Javier, Semko, Nikolaj N. |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
|
| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/801 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete MathematicsSimilar Items
Minimal non-\(PC\)-groups
by: Artemovych, Orest D.
Published: (2018)
by: Artemovych, Orest D.
Published: (2018)
Groups with many generalized \(FC\)-subgroup
by: Russo, Alessio, et al.
Published: (2018)
by: Russo, Alessio, et al.
Published: (2018)
On Sushchansky \(p\)-groups
by: Bondarenko, Ievgen V., et al.
Published: (2018)
by: Bondarenko, Ievgen V., et al.
Published: (2018)
On the condensation property of the Lamplighter groups and groups of intermediate growth
by: Benli, Mustafa Gökhan, et al.
Published: (2018)
by: Benli, Mustafa Gökhan, et al.
Published: (2018)
Word length in symmetrized presentations of Thompson's group \(F\)
by: Horak, Matthew, et al.
Published: (2018)
by: Horak, Matthew, et al.
Published: (2018)
Camina groups with few conjugacy classes
by: Cangelmi, Leonardo, et al.
Published: (2018)
by: Cangelmi, Leonardo, et al.
Published: (2018)
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)
Classical groups as Frobenius complement
by: Darefsheh, M., et al.
Published: (2023)
by: Darefsheh, M., et al.
Published: (2023)
On fibers and accessibility of groups acting on trees with inversions
by: Mahmood, Rasheed Mahmood Saleh
Published: (2015)
by: Mahmood, Rasheed Mahmood Saleh
Published: (2015)
S. N. Chernikov and the development of infinite group theory
by: Dixon, M. R., et al.
Published: (2018)
by: Dixon, M. R., et al.
Published: (2018)
On subgroups of finite exponent in groups
by: Artemovych, Orest D.
Published: (2018)
by: Artemovych, Orest D.
Published: (2018)
A new characterization of alternating groups
by: Asboei, Alireza Khalili, et al.
Published: (2018)
by: Asboei, Alireza Khalili, et al.
Published: (2018)
A generalization of groups with many almost normal subgroups
by: Russo, Francesco G.
Published: (2018)
by: Russo, Francesco G.
Published: (2018)
On intersections of normal subgroups in groups
by: Kulikova, O. V.
Published: (2018)
by: Kulikova, O. V.
Published: (2018)
On the generators of the kernels of hyperbolic group presentations
by: Chaynikov, Vladimir
Published: (2018)
by: Chaynikov, Vladimir
Published: (2018)
Free ultra-groups, generators and relations
by: Tolue, Behnaz, et al.
Published: (2020)
by: Tolue, Behnaz, et al.
Published: (2020)
On Kaluzhnin-Krasner’s embedding of groups
by: Olshanskii, A. Yu.
Published: (2018)
by: Olshanskii, A. Yu.
Published: (2018)
Partitions of groups into sparse subsets
by: Protasov, Igor
Published: (2018)
by: Protasov, Igor
Published: (2018)
Linear groups saturated by subgroups of finite central dimension
by: Semko, N. N., et al.
Published: (2020)
by: Semko, N. N., et al.
Published: (2020)
On intersections of normal subgroups in free groups
by: Kulikova, O. V.
Published: (2018)
by: Kulikova, O. V.
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)
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)
On derived \(\pi\)-length of a finite \(\pi\)-solvable group with supersolvable \(\pi\)-Hall subgroup
by: Monakhov, V. S., et al.
Published: (2018)
by: Monakhov, V. S., et al.
Published: (2018)
Orbit isomorphic skeleton groups
by: Saha, S.
Published: (2023)
by: Saha, S.
Published: (2023)
On the group of extensions for the bicrossed product construction for a locally compact group
by: Chapovsky, Yu. A., et al.
Published: (2018)
by: Chapovsky, Yu. A., et al.
Published: (2018)
A virtually 2-step nilpotent group with polynomial geodesic growth
by: Bishop, A., et al.
Published: (2022)
by: Bishop, A., et al.
Published: (2022)
Finite groups as groups of automata with no cycles with exit
by: Russyev, Andriy
Published: (2018)
by: Russyev, Andriy
Published: (2018)
On the structure of some groups having finite contranormal subgroups
by: Kurdachenko, L. A., et al.
Published: (2021)
by: Kurdachenko, L. A., et al.
Published: (2021)
A new characterization of finite \(\sigma\)-soluble \(P\sigma T\)-groups
by: Adarchenko, N. M.
Published: (2020)
by: Adarchenko, N. M.
Published: (2020)
Units of some group algebras of groups of order \(12\) over any finite field of characteristic \(3\)
by: Gildea, Joe, et al.
Published: (2018)
by: Gildea, Joe, et al.
Published: (2018)
On the \(\cal F\) -hypercentre of a finite group
by: Skiba, Alexander N.
Published: (2018)
by: Skiba, Alexander N.
Published: (2018)
Torsion-free groups with every proper homomorphic image an \(\bf N_1\)-group
by: Ercan, Selami
Published: (2018)
by: Ercan, Selami
Published: (2018)
On the existence of complements in a group to some abelian normal subgroups
by: Dixon, Martyn R., et al.
Published: (2018)
by: Dixon, Martyn R., et al.
Published: (2018)
Locally soluble groups with the restrictions on the generalized norms
by: Lukashova, T.
Published: (2020)
by: Lukashova, T.
Published: (2020)
The symmetries of McCullough-Miller space
by: Piggott, Adam
Published: (2018)
by: Piggott, Adam
Published: (2018)
Generalised triangle groups of type \((3,q,2)\)
by: Howie, James
Published: (2018)
by: Howie, James
Published: (2018)
On simple groups of large exponents
by: Sonkin, Dmitriy
Published: (2018)
by: Sonkin, Dmitriy
Published: (2018)
Semisimple group codes and dihedral codes
by: Dutra, Flaviana S., et al.
Published: (2018)
by: Dutra, Flaviana S., 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)
A note about splittings of groups and commensurability under a cohomological point of view
by: Andrade, Maria Gorete Carreira, et al.
Published: (2018)
by: Andrade, Maria Gorete Carreira, et al.
Published: (2018)
Similar Items
-
Minimal non-\(PC\)-groups
by: Artemovych, Orest D.
Published: (2018) -
Groups with many generalized \(FC\)-subgroup
by: Russo, Alessio, et al.
Published: (2018) -
On Sushchansky \(p\)-groups
by: Bondarenko, Ievgen V., et al.
Published: (2018) -
On the condensation property of the Lamplighter groups and groups of intermediate growth
by: Benli, Mustafa Gökhan, et al.
Published: (2018) -
Word length in symmetrized presentations of Thompson's group \(F\)
by: Horak, Matthew, et al.
Published: (2018)