Finite groups with the same conjugacy class sizes as a finite simple group
From MaRDI portal
Publication:5124319
DOI10.22108/IJGT.2017.21236zbMath1443.20012OpenAlexW2602052160MaRDI QIDQ5124319
Publication date: 18 September 2020
Full work available at URL: https://doaj.org/article/e09248818e774f69b9a4153f9f25c5f9
Conjugacy classes for groups (20E45) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)
Related Items (4)
PGL2(q) cannot be determined by its cs ⋮ Equivalent version of Huppert’s conjecture for codegrees of K3-groups ⋮ AN ANALOGUE OF HUPPERT’S CONJECTURE FOR CHARACTER CODEGREES ⋮ Non-solvable groups and the two-prime hypothesis on conjugacy class sizes
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Thompson's conjecture for some finite simple groups with connected prime graph.
- The set of conjugacy class sizes of a finite group does not determine its solvability.
- A dual version of Huppert's conjecture on conjugacy class sizes.
- \(r\)-recognizability of \(B_n(q)\) and \(C_n(q)\) where \(n=2^m\geqslant 4\).
- Characterization of \(^3D_4(q)\)
- On Thompson's conjecture for some finite simple groups.
- On the length of the conjugacy classes of finite groups
- A characterization of the group \(^2D_n(2)\), where \(n=2m+1\geq 5\).
- A new characterization of Suzuki-Ree group
- On Thompson's conjecture
- A new characterization of \(\text{PSU}(p,q)\).
- On Thompson's conjecture.
- Recognising nilpotent groups.
- Thompson's conjecture for finite simple groups of Lie type \(B_n\) and \(C_n\).
- Groups with the given set of the lengths of conjugacy classes
- On the Validity of Thompson's Conjecture for Finite Simple Groups
- THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY
- A New Characterization ofPSL(p,q)
- PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
- ON THE THOMPSON'S CONJECTURE ON CONJUGACY CLASSES SIZES
- CHARACTERIZATION OF THE GROUPS Dp+1(2) AND Dp+1(3) USING ORDER COMPONENTS
This page was built for publication: Finite groups with the same conjugacy class sizes as a finite simple group