Mathieu groups and its degree prime-power graphs
From MaRDI portal
Publication:5227693
DOI10.1080/00927872.2019.1579342zbMath1472.20013OpenAlexW2933544354MaRDI QIDQ5227693
Chao Qin, Gui-Yun Chen, Kar Ping Shum, Yan Xiong Yan
Publication date: 7 August 2019
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2019.1579342
Ordinary representations and characters (20C15) Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Representations of sporadic groups (20C34)
Related Items (3)
A new characterization of L2(p3) ⋮ A new characterization of the automorphism groups of Mathieu groups ⋮ A new characterization of \(L_2(p^2)\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Huppert's conjecture for alternating groups
- A new characterization of Mathieu-groups by the order and one irreducible character degree.
- Verifying Huppert's conjecture for \(\text{PSp}_4(q)\) when \(q>7\).
- Verifying Huppert's conjecture for \(^2G_2(q^2)\).
- Recognition of \(\text{PSL}(2,p)\) by order and some information on its character degrees where \(p\) is a prime
- Huppert's conjecture for \(Fi_{23}\)
- The simple Ree groups \(^2F_4(q^2)\) are determined by the set of their character degrees.
- On Huppert's conjecture for the Monster and Baby Monster.
- An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.
- Some simple groups which are determined by the set of their character degrees. I
- On Huppert's conjecture for \(G_2(q)\), \(q\geq 7\).
- On Huppert's conjecture for \(^3D_4(q)\), \(q\geq 3\).
- Recognition of \(L_2(q)\) by its group order and largest irreducible character degree.
- Some simple groups which are determined by their character degree graphs
- 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
- Degree Graphs of Simple Groups of Exceptional Lie Type
- Verifying Huppert's Conjecture for PSL3(q) and PSU3(q2)
- On the Number of Components of a Graph Related to Character Degrees
- A characterization of PGL (2,pn) by some irreducible complex character degrees
- A New Characterization of SimpleK3-Groups by Their Orders and Large Degrees of Their Irreducible Characters
This page was built for publication: Mathieu groups and its degree prime-power graphs