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- Title
ON RECOGNITION BY PRIME GRAPH OF THE PROJECTIVE SPECIAL LINEAR GROUP OVER GF(3).
- Authors
Khosravi, Bahman; Khosravi, Behnam; Hamid Reza Dalili Oskouei
- Abstract
Let G be a finite group. The prime graph of G is denoted by Γ(G). We prove that the simple group PSLn(3), where n ≥ 9, is quasirecognizable by prime graph; i.e., if G is a finite group such that ≥ (G) = ≥ (PSLn(3)), then G has a unique nonabelian composition factor isomorphic to PSLn(3). Darafsheh proved in 2010 that if p > 3 is a prime number, then the projective special linear group PSLp(3) is at most 2-recognizable by spectrum. As a consequence of our result we prove that if n ≥ 9, then PSLn(3) is at most 2-recognizable by spectrum.
- Subjects
GRAPH theory; MATHEMATICAL proofs; FINITE groups; ISOMORPHISM (Mathematics); FACTOR analysis; PRIME numbers
- Publication
Publications de l'Institut Mathématique, 2014, Vol 95, Issue 109, p255
- ISSN
0350-1302
- Publication type
Article
- DOI
10.2298/PIM1409255K