Finite groups having the same prime graph as the group \(\Aut(J_2)\).

DOI10.1134/S0081543813090071zbMath1306.20027OpenAlexW1991915913MaRDI QIDQ483202

Anatoli Kondrat'ev

Publication date: 16 December 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543813090071

zbMATH Keywords

finite groupsautomorphism groupsprime graphssets of element ordersspectra of groupsrecognizable groupsrecognition by spectrumrecognition by prime graphJanko group \(J_2\)\(\Aut(J_2)\)

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05)

Related Items

On groups isospectral to the automorphism group of the second sporadic group of Janko, Finite groups having the same prime graph as the group \(A_{10}\)., On quasirecognition by prime graph of the simple groups $A^{+}_{n}(p)$ and $A^{-}_{n}(p)$, On finite non-solvable groups whose Gruenberg-Kegel graphs are isomorphic to the paw

Cites Work

• Characterization of the finite simple groups by spectrum and order.
• On finite tetraprimary groups.
• Prime graph components of finite groups
• On finite simple groups of order divisible by three primes only
• The Prime Graph of a Sporadic Simple Group
• On simple \(K_4\)-groups
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