Download or read book Subgroups of Teichmuller Modular Groups written by N. V. Ivanov and published by Amer Mathematical Society. This book was released on 1992 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teichmuller modular groups, also known as mapping class groups of surfaces, serve as a meeting ground for several branches of mathematics, including low-dimensional topology, the theory of Teichmuller spaces, group theory, and, more recently, mathematical physics. This work focuses mainly on the group-theoretic properties of these groups and their subgroups. The technical tools come from Thurston's theory of surfaces - his classification of surface diffeomorphisms and the theory of measured foliations on surfaces.