Cover Image

Recognition by element orders for simple linear and unitary groups

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Grechkoseeva, Maria A., Staroletov, Alexey M., Vasil'ev, Andrey V.
Format:	Preprint
Published:	2026
Subjects:	Group Theory 20D06, 20D60
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On finite groups isospectral to groups with abelian Sylow $2$-subgroups
by: Grechkoseeva, M. A., et al.
Published: (2024)

On recognition of the direct squares of the simple groups with abelian Sylow 2-subgroups
by: Li, Tao, et al.
Published: (2023)

Finite groups isospectral to simple groups
by: Grechkoseeva, Maria A., et al.
Published: (2021)

On recognition of direct powers of finite simple linear groups by spectrum
by: Yang, N., et al.
Published: (2022)

On recognition of simple classical groups with prime graph independence number $4$ by spectrum
by: Grechkoseeva, Maria A., et al.
Published: (2026)

On $p$-index extremal groups
by: Vasil'ev, Andrey V., et al.
Published: (2023)

On Cayley representations of central Cayley graphs over almost simple groups
by: Guo, Jin, et al.
Published: (2021)

The spectra of almost simple groups with socle $E_7(q)$
by: Buturlakin, Alexander A., et al.
Published: (2023)

On recognition of simple groups with disconnected prime graph by spectrum
by: Panshin, Viktor
Published: (2025)

Base sizes for finite linear groups with solvable stabilisers
by: Baykalov, Anton A.
Published: (2024)

The structure of a finite group and the maximum $π$-index of its elements
by: Liu, A-Ming, et al.
Published: (2024)

The simple $\mathscr{B}_ψ$-groups
by: Azad, Morteza Baniasad
Published: (2023)

Quantitative characterization of finite simple groups: a complement
by: Shi, Wujie
Published: (2023)

Finite groups with many elements of the same order
by: McCulloch, Ryan, et al.
Published: (2026)

On Rota--Baxter operators on finite simple groups of Lie type
by: Galt, Alexey, et al.
Published: (2025)

On arithmetical properties and arithmetical characterizations of finite groups
by: Maslova, Natalia V.
Published: (2024)

On characterization of groups by isomorphism type of Gruenberg-Kegel graph
by: Chen, Mingzhu, et al.
Published: (2025)

Minimal generation of finite simple groups of Lie type by regular unipotent elements
by: Pellegrini, M. A., et al.
Published: (2025)

Recognition by the set of exponents in the prime factorization of the product of element orders
by: Azad, Morteza Baniasad, et al.
Published: (2025)

On the Gowers trick for classical simple groups
by: Fumagalli, Francesco, et al.
Published: (2024)

The Herzog-Schönheim conjecture for simple and symmetric groups
by: Garonzi, M., et al.
Published: (2025)

On algebraic normalisers of maximal tori in simple groups of Lie type
by: Baykalov, Anton A.
Published: (2023)

Growth of products of subsets in finite simple groups
by: Dona, Daniele, et al.
Published: (2024)

The quotients of the $p$-adic group ring of a cyclic group of order $p$
by: Guedri, Maria, et al.
Published: (2025)

The influence of the nilpotentlizers on group structur
by: Ahmadkhah, N., et al.
Published: (2024)

Finite groups with few subgroups not in the Chermak-Delgado lattice
by: Lu, Jiakuan, et al.
Published: (2025)

Simple groups with narrow prime spectrum: Extended list
by: Zavarnitsine, Andrei V.
Published: (2026)

On the global breadth of finite groups with nontrivial partitions
by: Muhie, Seid Kassaw, et al.
Published: (2025)

On finite groups with soluble centralisers
by: Grazian, Valentina, et al.
Published: (2025)

On generation by triality automorphisms
by: Revin, Danila O., et al.
Published: (2025)

Subnormalisers of semisimple elements in finite groups of Lie type
by: Malle, Gunter
Published: (2025)

On the conjecture of groups with the same number of centralizer
by: Ahmadkhah, N., et al.
Published: (2024)

On the solubilizer of an element in a finite group
by: Akbari, Banafsheh, et al.
Published: (2022)

Picky elements, subnormalisers, and character correspondences
by: Malle, Gunter
Published: (2025)

Random unipotent Sylow subgroups of groups of Lie type of bounded rank
by: Skresanov, Saveliy V.
Published: (2025)

Finite groups with a large normalized sum of element orders
by: Iorio, Luigi, et al.
Published: (2026)

Factorizations of finite groups
by: Kabenyuk, Mikhail
Published: (2021)

Indices of non-supersolvable maximal subgroups in finite groups
by: Beltrán, Antonio, et al.
Published: (2025)

Complete factorizations of finite groups
by: Kabenyuk, Mikhail
Published: (2023)

Maps, simple groups, and arc-transitive graphs
by: Liebeck, Martin W., et al.
Published: (2024)