Published online by Cambridge University Press: 09 April 2009
A class of cyclically presented groups with n generators and n Fibonacci type relations is discussed. Conditions are given for these groups to be finite and metacyclic. With these conditions the presentations are reduced to the standard form for metacyclic groups with trivial Schur multiplicator. This enables certain ismorphisms between the groups to be found.
Subject classification (Amer. Math. Soc. (MOS) 1970): 20 F 05.