Titlebook: Combinatorial Group Theory; Roger C. Lyndon,Paul E. Schupp Book 2001 Springer-Verlag Berlin Heidelberg 2001 05E15.20Exx.20Fxx.20J05.Yellow

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Free Groups and Their Subgroups,Informally, a group is free on a set of generators if no relation holds among these generators except the trivial relations that hold among any set of elements in any group. We make this precise as follows.

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Free Products and HNN Extensions,In this chapter we will study the definitions, properties, and applications of the products of groups which are basic to doing combinatorial group theory. We begin with a study of free products.

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1431-0821 nd useful bibliography; (over 1100 (items)). ...the book is a valuable and welcome addition to the literature, containing many results not previously available in a book. It will undoubtedly become a standard reference." .Mathematical Reviews, AMS, 1979.978-3-540-41158-1978-3-642-61896-3Series ISSN 1431-0821 Series E-ISSN 2512-5257

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UV Prognosis and UV Index Services in Europeory was subsequently extended to the case where . is a free product, a free product with amalgamation, or an HNN extension. Moreover, strong results were obtained about algebraic properties; for example, one can classify torsion elements and commuting elements in small cancellation quotients.