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math.HO2000
The Modular Tree of Pythagorus
Roger C. Alperin
The Pythagorean triples have the structure of a ternary rooted tree; the tree is based on the Cayley graph of a free subgroup of the modular group
math.GR2000
Uniform Exponential Growth of Polycyclic Groups
Roger C. Alperin
We prove that polycyclic groups are of polynomial growth or of uniform exponential growth.