The group J4 × J4 is recognizable by spectrum

DOI10.1142/S0219498821500614zbMath1475.20037arXiv1905.06258OpenAlexW3000546202MaRDI QIDQ4988253

Ilya B. Gorshkov, Natal'ya Vladimirovna Maslova

Publication date: 12 May 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.06258

zbMATH Keywords

spectrumfinite groupnonsimple grouprecognizable groupsporadic group \(J_4\)

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items

Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph, On recognition of direct powers of finite simple linear groups by spectrum, A criterion for nonsolvability of a finite group and recognition of direct squares of simple groups, Finite groups isospectral to simple groups, Characterization of groups with non-simple socle

Uses Software

• ATLAS Group Representations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On finite groups isospectral to simple classical groups.
• A criterion of unrecognizability by spectrum for finite groups.
• The set of orders of elements in a finite group
• Solvability of groups of odd order
• Finite simple groups with narrow prime spectrum.
• On finite simple groups of order divisible by three primes only
• Theorems Like Sylow's
• Finite Groups in Which Every Element Has Prime Power Order
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Spectra of finite linear and unitary groups
• Arithmetical Conditions on Element Orders and Group Structure
• Conjugacy of Odd order Hall Subgroups
• On groups having the prime graph as alternating and symmetric groups
• On a Conjecture of Philip Hall
• Recognition of finite groups by the prime graph