“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
Paper IPM / M / 8466  


Abstract:  
In this paper we give two new characterizations for the sporadic
simple groups, based on the orders of the normalizers of the Sylow
subgroups. Let S be a sporadic simple group and
p be the greatest prime divisor of S. In
this paper we prove that S is uniquely determined among finite
groups by S and N_{S}(P), where P ∈
Syl _{p}(S). Also we prove that if G is a finite
group. then G ≅ S if and only of for every prime
q,N_{S}(Q)=N_{G}(Q′), where Q ∈
Syl_{q}(S) and Q′ ∈ Syl_{q}(G).
Download TeX format 

back to top 