@inbook {IOPORT.05212132, author = {Panti, Giovanni}, title = {The automorphism group of falsum-free product logic.}, year = {2007}, booktitle = {Algebraic and proof-theoretic aspects of non-classical logics. Papers in honor of Daniele Mundici on the occasion of his 60th birthday}, isbn = {978-3-540-75938-6}, pages = {275-289}, publisher = {Berlin: Springer}, doi = {10.1007/978-3-540-75939-3_16}, abstract = {Summary: A few things are known, and many are unknown, on the automorphism group of the free MV-algebra over $n - 1$ generators. In this paper we show that this group appears as the stabilizer of 1 in the larger group of all automorphisms of the free cancellative hoop over $n$ generators. Both groups have a dual action on the same space, namely the $(n - 1)$-dimensional cube. The larger group has a richer dynamics, at the expense of loosing the two key features of the McNaughton homeomorphisms: preservation of denominators of rational points, and preservation of the Lebesgue measure. We present here some basic results, some examples, and some problems.}, identifier = {05212132}, }