Titlebook: Algebra VII; Combinatorial Group A. N. Parshin,I. R. Shafarevich Book 1993 Springer-Verlag Berlin Heidelberg 1993 algebraic topology.group

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Splitting Homomorphisms and Some Problems in Topology along ∪.. is a 3-cell, is called a . By van Kampen’s theorem the fundamental group .. (.) is a free group of rank . Two cubes .., .. with .., .. handles respectively are homeomorphic if and only if ..=.. and .., .. are both orientable or both non-orientable.

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https://doi.org/10.1007/978-3-663-13618-7In this survey the reader’s notice is drawn to three current questions of combinatorial group theory which have relations to geometry.

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,Authentikationsaspekte der Verschlüsselung,The notion of growth is widely used in mathematics. In this chapter we consider this concept as applied to groups. However, at first we shall consider a notion of geometric growth, whose combinatorial form leads to the notion of growth of groups.

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