An alternative proof that the Fibonacci group F(2,9) is infinite

Details An alternative proof that the Fibonacci group F(2,9) is infinite An alternative proof that the Fibonacci group F(2,9) is infinite

1995-07-14

arxiv.org/abs/math/9507204v1

Mathematics

Group Theory

LaTex, 3 pages, no figures. To appear in Experimental Mathematics

Scientific paper

This note contains a report of a proof by computer that the Fibonacci group
F(2,9) is automatic. The automatic structure can be used to solve the word
problem in the group. Furthermore, it can be seen directly from the
word-acceptor that the group generators have infinite order, which of course
implies that the group itself is infinite.

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