Thompson's conjecture for simple groups with connected prime graph.

DOI10.1007/s10469-012-9175-8zbMath1270.20010OpenAlexW1964016548WikidataQ123111219 ScholiaQ123111219MaRDI QIDQ694241

Ilya B. Gorshkov

Publication date: 11 December 2012

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-012-9175-8

zbMATH Keywords

finite simple groupsThompson conjectureconjugacy class sizes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) 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 (9)

On Thompson's conjecture for alternating groups of large degree ⋮ Thompson's conjecture for finite simple groups of Lie type \(B_n\) and \(C_n\). ⋮ On Thompson's conjecture for alternating and symmetric groups of degree greater than 1361. ⋮ On automorphisms of strongly regular graphs with parameters \((99, 42, 21, 15)\) and \((99, 56, 28, 36)\) ⋮ Thompson’s conjecture on conjugacy class sizes for the simple group PSUn(q) ⋮ Characterization of \(\text{PGL}(2,p)\) by its order and one conjugacy class size. ⋮ Thompson’s conjecture for alternating groups ⋮ A Lower Bound of Conjugacy Class Length of Symmetric Group ⋮ On Thompson’s conjecture for finite simple groups

Uses Software

• GAP

Cites Work

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• Prime graph components of finite groups
• On Thompson's conjecture
• Finite simple groups with narrow prime spectrum.
• On Thompson's conjecture.
• An Adjacency Criterion for the Prime Graph of a Finite Simple Group

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