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Paper   IPM / M / 8468
School of Mathematics
  Title:   On the prime graph of L2(q) where q=pα < 100
  Author(s):  Behr. Khosravi (Joint with S. S. Amiri)
  Status:   Published
  Journal: Quasigroups Related Systems
  Vol.:  14
  Year:  2006
  Pages:   179-190
  Supported by:  IPM
  Abstract:
Let G be a finite group. We construct the prime graph of G as follows: the vertices of this graph are the prime divisors of |G| and two vertices p and q are joined by and edge if and only if G contains an element of order pq. The prime graph of G is the denoted by Γ(G).
Mina Hagie (Comm. Algebra, 2003) determined finite groups G such that Γ(G)=Γ(S), where S is a sporadic simple group. In this paper we determine finite groups G such that Γ(G)=Γ(L2(q)) for some q < 100.

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