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Bibliographic Details
Main Authors:	Grechkoseeva, Maria A., Mazurov, Victor D., Shi, Wujie, Vasil'ev, Andrey V., Yang, Nanying
Format:	Preprint
Published:	2021
Subjects:	Group Theory 20D05, 20D60
Online Access:	https://arxiv.org/abs/2111.15198
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Recognition by element orders for simple linear and unitary groups
by: Grechkoseeva, Maria A., et al.
Published: (2026)

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

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

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)

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

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)

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

On combinatorial properties of Gruenberg--Kegel graphs of finite groups
by: Chen, Mingzhu, et al.
Published: (2024)

On groups whose conjugacy class sizes are not divisible by each other
by: Yang, Nanying, et al.
Published: (2024)

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

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

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

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

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

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

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

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

Common transversals and complements in abelian groups
by: Aivazidis, Stefanos, et al.
Published: (2023)

Relatively closed subgroups of permutation groups with a cyclic regular normal subgroup
by: Buturlakin, Alexander, et al.
Published: (2025)

On neighborhoods in the enhanced power graph associated with a finite group
by: Lewis, Mark L., et al.
Published: (2024)

Centralizers in finite groups and Domination number of their commuting graphs
by: Bera, Sudip, et al.
Published: (2026)

The non-commuting, non-generating graph of a finite simple group
by: Freedman, Saul D.
Published: (2022)

On multivalued groups of order 3
by: Guo, Jin, et al.
Published: (2024)

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

On the order sequence of a group
by: Cameron, Peter J., et al.
Published: (2023)

Finite groups, commuting probability, and coprime automorphisms
by: Detomi, Eloisa, et al.
Published: (2025)

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

Finite groups with high commuting probability for Sylow subgroups
by: Detomi, Eloisa, et al.
Published: (2026)

Enhanced power graph from the power graph of a group
by: Pote, Amar S., et al.
Published: (2025)

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

On the triple product property for subgroups of finite nilpotent groups of class $2$
by: Murthy, Sandeep R.
Published: (2026)

Realizing Gruenberg-Kegel graphs of $T$-solvable groups with structurally simplified extensions of $T$
by: Alland, Lucas, et al.
Published: (2025)

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

Diameter bounds for arbitrary finite groups and applications
by: Eberhard, Sean, et al.
Published: (2026)

Closures of permutation groups with restricted nonabelian composition factors
by: Ponomarenko, Ilia, et al.
Published: (2024)

Finite $p$-groups of class $2$ as central extensions
by: Chen, Haimiao
Published: (2020)

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