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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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Extensions of Aspherical Groups,If the quotient group ./. of a group . by a normal subgroup . is isomorphic to a group . then we say that . is an . of . by .. Such an extension is called . if . is an abelian group. If . is in the centre of ., then we say that the extension is ..
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https://doi.org/10.1007/978-3-322-96725-1or diagrams over presentations of many groups which do not satisfy conventional conditions of the form .(.) on the amount of cancellation between relators. We shall also develop some necessary machinery, whose application yields results as early as the next chapter.
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Presentations in Free Products,ing relations needed to define this quotient group. Lyndon [146], [149] formulated an analogue of van Kampen’s lemma for free products and applied it to small cancellation free products. In Chapter 11, we extend the method and the techniques of Chapters 4–10 to diagrams over free products and apply them to quotient groups of free products.
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