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 SM ISO690:2012KHOSRAVI, Behrooz, AMIRI, Seyyed-Sadegh-Salehi. On the prime graph of L2 (q) where q = pα < 100. In: Quasigroups and Related Systems, 2006, vol. 14, nr. 2(16), pp. 179-190. ISSN 1561-2848. |
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| Quasigroups and Related Systems | ||||||
| Volumul 14, Numărul 2(16) / 2006 / ISSN 1561-2848 | ||||||
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Let G be a fi nite 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 an edge if
and only if G contains an element of order pq . The prime graph of G is denoted by Γ(G).
Mina Hagie (Comm. Algebra, 2003) determined nite groups G such that Γ(G) =
Γ(S), where S is a sporadic simple group. In this paper we determine nite groups G
such that Γ(G) = Γ(L2 (q)) for some q < 100.
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