Recognition of PSL(2,p) ×PSL(2,p) by its complex group algebra
From MaRDI portal
Publication:2965720
DOI10.1142/S0219498817500360zbMath1359.20004OpenAlexW2287556236MaRDI QIDQ2965720
Behrooz Khosravi, Bahman Khosravi, Behnam Khosravi, Zahra Momen
Publication date: 3 March 2017
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219498817500360
Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)
Related Items (3)
Complex group algebras of the direct product of non-isomorphic Suzuki groups ⋮ Recognition of \(M \times M\) by its complex group algebra where \(M\) is a simple \(K_3\)-group ⋮ Unnamed Item
Cites Work
- A new characterization for some extensions of \(\mathrm{PSL}(2,q)\) for some \(q\) by some character degrees.
- A new characterization of Mathieu-groups by the order and one irreducible character degree.
- Simple exceptional groups of Lie type are determined by their character degrees.
- Alternating and sporadic simple groups are determined by their character degrees.
- Recognition of \(\text{PSL}(2,p)\) by order and some information on its character degrees where \(p\) is a prime
- Recognition of the simple group \(\mathrm{PSL}(2,p^2)\) by character degree graph and order.
- Symmetric groups are determined by their character degrees.
- Character theory of finite groups
- Group theoretic and group ring theoretic determination of certain Sylow and Hall subgroups and the resolution of a question of R. Brauer
- Simple classical groups of Lie type are determined by their character degrees.
- Characterizing finite quasisimple groups by their complex group algebras.
- Recognition of \(L_2(q)\) by its group order and largest irreducible character degree.
- Deux groupes finis distincts ayant la même algèbre de groupe sur tout corps
- Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups
- A new characterization for the simple group PSL(2, p 2) by order and some character degrees
- A New Characterization of SimpleK3-Groups by Their Orders and Large Degrees of Their Irreducible Characters
- Some Extensions of PSL(2,p2) are Uniquely Determined by Their Complex Group Algebras
- Nonsolvable groups with no prime dividing three character degrees.
- On a problem of E. Artin
- A counterexample to the isomorphism problem for integral group rings
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Recognition of PSL(2,p) ×PSL(2,p) by its complex group algebra
