Titlebook: Geometry of Defining Relations in Groups; A. Yu. Ol’shanskii Book 1991 Springer Science+Business Media Dordrecht 1991 Abelian group.Group

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0169-6378 Overview: 978-94-010-5605-2978-94-011-3618-1Series ISSN 0169-6378

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https://doi.org/10.1007/978-3-663-05970-7r on all pairs of elements (that all proper subgroups are cyclic or that certain identities in two variables hold, as in Chapter 9). In this the final chapter, we consider another type of universal restriction on the elements of a group, namely, the conjugacy of any pair of elements satisfying certain natural conditions.

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Partitions of Relators,ns of groups of a certain specific type. The partitions of the boundaries of cells are induced by natural decompositions of relators. In this chapter we study basic properties of presentations of this kind and, in Chapter 9, we find explicit forms of relators depending on the group-theoretic problem under consideration.

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Conjugacy Relations,r on all pairs of elements (that all proper subgroups are cyclic or that certain identities in two variables hold, as in Chapter 9). In this the final chapter, we consider another type of universal restriction on the elements of a group, namely, the conjugacy of any pair of elements satisfying certain natural conditions.

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,Einführung in das digitale Zeitalter,In §7 we considerednatural finiteness conditions which arose in the process of imposing on infinite abstract groups characteristic properties of finite groups.

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