Thompson's conjecture for alternating group of degree 22.

DOI10.1007/s11464-013-0320-zzbMath1281.20018OpenAlexW2171885426WikidataQ123300352 ScholiaQ123300352MaRDI QIDQ384625

Mingchun Xu

Publication date: 28 November 2013

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-013-0320-z

zbMATH Keywords

finite groupsfinite simple groupsconjugacy class sizesprime graphsalternating group \(A_{22}\)

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) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (6)

On Thompson's conjecture for alternating groups of large degree ⋮ Characterization of \(\text{PGL}(2,p)\) by its order and one conjugacy class size. ⋮ On Thompson's conjecture for finite simple exceptional groups of Lie type ⋮ 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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• On the length of the conjugacy classes of finite groups
• Prime graph components of finite groups
• Further reflections on Thompson's conjecture
• A new characterization of some alternating and symmetric groups.
• On Thompson's conjecture
• Finite simple groups with narrow prime spectrum.
• On Thompson's conjecture.

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