A characterization of \(\text{PSL}(3,q)\) where \(q\) is an odd prime power
From MaRDI portal
Publication:1602671
DOI10.1016/S0022-4049(01)00113-XzbMath1001.20005OpenAlexW1991860938MaRDI QIDQ1602671
Ali Iranmanesh, Seyed Hassan Alavi, Behrooz Khosravi
Publication date: 24 June 2002
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-4049(01)00113-x
Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)
Related Items
A New Characterization ofPSL(p,q), THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY, New characterization of symmetric groups of prime degree, The main supergraph of finite groups, Unnamed Item, Characterization of \(G_2(q)\), where \(2<q\equiv-1\pmod 3\), by order components., A variation of Thompson's conjecture for the symmetric groups, Characterizability of the group \(^2D_p(3)\) by its order components, where \(p\geq 5\) is a prime number not of the form \(2^m+1\)., On the prime graph of \(\text{PSL}(2,p)\) where \(p>3\) is a prime number., Groups with the same orders of maximal abelian subgroups as \(A_2(q)\)., Characterizability of \(\text{PSU}(p+1,q)\) by its order component(s)., A new characterization of alternating and symmetric groups., \(r\)-recognizability of \(B_n(q)\) and \(C_n(q)\) where \(n=2^m\geqslant 4\)., The number of isomorphism classes of finite groups with the set of order components of \(C_4(q)\)., A NEW CHARACTERIZATION OF ALMOST SPORADIC GROUPS, Recognizing alternating groups by their order and one conjugacy class length, Relation between Frobenius and 2-Frobenius groups with order components of finite groups., OD-characterization of all simple groups whose orders are less than \(10^8\)., A Characterization of Finite Simple Groups by the Degrees of Vertices of Their Prime Graphs, Characterization of the alternating groups by their order and one conjugacy class length, OD-Characterization of Simple K4-Groups, A CHARACTERIZATION OF Bn(q) BY THE SET OF ORDERS OF MAXIMAL ABELIAN SUBGROUPS, NOTES ON FINITE SIMPLE GROUPS WHOSE ORDERS HAVE THREE OR FOUR PRIME DIVISORS, A characterization of the group \(^2D_n(2)\), where \(n=2m+1\geq 5\)., Unnamed Item, Unnamed Item, \(^2D_n(3)\) (\(9\leq n=2^m+1\) not a prime) can be characterized by its order components., Several quantitative characterizations of some specific groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Prime graph components of finite groups
- A new characterization of the alternating groups
- Further reflections on Thompson's conjecture
- A new characterization of \(\text{PSL}_2(q)\)
- On Thompson's conjecture
- PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
- Decomposition of the Augmentation Ideal and of the Relation Modules of a Finite Group
