Recognizing the automorphism groups of Mathieu groups through their orders and large degrees of their irreducible characters.
DOI10.1007/s11401-016-1024-yzbMath1351.20014OpenAlexW2472545990MaRDI QIDQ325282
Liangcai Zhang, Yan Xiong Yan, Hai Jing Xu, Gui-Yun Chen
Publication date: 18 October 2016
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11401-016-1024-y
finite groupsirreducible characterscharacter degreescharacter tablessimple groupsrecognizable groupsautomorphism groups of Mathieu groupsfinite almost-simple groups
Ordinary representations and characters (20C15) Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Representations of sporadic groups (20C34)
Cites Work
- A new characterization of Mathieu-groups by the order and one irreducible character degree.
- Huppert's conjecture for \(Fi_{23}\)
- Some simple groups which are determined by the set of their character degrees. I
- A new characterization of finite simple groups
- Some simple groups which are determined by the set of their character degrees. II.
- ON HUPPERT’S CONJECTURE FOR THE CONWAY AND FISCHER FAMILIES OF SPORADIC SIMPLE GROUPS
- A New Characterization of SimpleK3-Groups by Their Orders and Large Degrees of Their Irreducible Characters
- Unnamed Item
- Unnamed Item
This page was built for publication: Recognizing the automorphism groups of Mathieu groups through their orders and large degrees of their irreducible characters.
