On recognition of alternating groups by prime graph
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Publication:1685385
DOI10.17377/semi.2017.14.084zbMath1378.20016MaRDI QIDQ1685385
Alexey Mikhailovich Staroletov
Publication date: 13 December 2017
Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)
Related Items (4)
Characterization of groups \(E_6(3)\) and \(^2E_6(3)\) by Gruenberg-Kegel graph ⋮ Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph ⋮ On characterization by Gruenberg-Kegel graph of finite simple exceptional groups of Lie type ⋮ On groups having the prime graph as alternating and symmetric groups
Uses Software
Cites Work
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- Recognizability of alternating groups by spectrum.
- On nonabelian simple groups having the same prime graph as an alternating group.
- On finite groups isospectral to simple classical groups.
- On finite groups with disconnected prime graph.
- Groups isospectral to the degree 10 alternating group.
- Cocliques of maximal size in the prime graph of a finite simple group
- On groups critical with respect to a set of natural numbers.
- Prime graph components of finite groups
- Finite groups whose element orders are consecutive integers
- Explicit estimates of some functions over primes
- Almost recognizability by spectrum of finite simple linear groups of prime dimension.
- Finite simple groups with narrow prime spectrum.
- Approximate formulas for some functions of prime numbers
- An Adjacency Criterion for the Prime Graph of a Finite Simple Group
- Quasirecognition by prime graph of some alternating groups
- Spectra of finite linear and unitary groups
- On First Appearance of Prime Differences
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