JP Journal of Algebra, Number Theory and Applications
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Abstract: In
this paper, we show that if (wn)n³0is
a non-degenerate Lucas sequence with real roots,
then there are only finitely many non-abelian
finite simple groups whose order is a member of n³0.For
the particular case of the classical Fibonacci
and Lucas sequences, there is no such non-abelian
finite simple group.
Keywords and phrases: Lucas sequences, finite simple groups.