Thompson’s conjecture for alternating groups

DOI10.1080/00927872.2018.1448837zbMath1417.20002arXiv1611.05526OpenAlexW2963295722MaRDI QIDQ4634062

Ilya B. Gorshkov

Publication date: 7 May 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.05526

zbMATH Keywords

conjugacy classfinite groupalternating groupThompson's conjecture

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (2)

On characterization of a finite group by the set of conjugacy class sizes ⋮ On characterization of a finite group with non-simple socle by the set of conjugacy class sizes

Cites Work

• Unnamed Item
• Towards Thompson's conjecture for alternating and symmetric groups.
• On Thompson's conjecture for alternating and symmetric groups of degree greater than 1361.
• Thompson's conjecture for alternating group of degree 22.
• On the structure of finite groups isospectral to an alternating group.
• Thompson's conjecture for simple groups with connected prime graph.
• A new characterization of alternating and symmetric groups.
• On Thompson's conjecture for alternating groups of large degree
• Finite simple groups with narrow prime spectrum.
• On Thompson's conjecture.
• Zum Satz von Sylow
• Unsolved Problems in Group Theory. The Kourovka Notebook
• The {ie210-01}-property in finite simple groups

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