JP Journal of Algebra, Number Theory and Applications
Volume 4, Issue 1, Pages 23 - 54
(April 2004)
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FIBONACCI NUMBERS, LUCAS NUMBERS AND ORDERS OF FINITE SIMPLE GROUPS
Florian Luca (Mexico)
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(wn)n
³
0
is
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
n
³
0.
For
the particular case of the classical Fibonacci
and Lucas sequences, there is no such non-abelian
finite simple group.