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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https://doi.org/10.1007/978-3-322-96725-1aded so that additional properties can be expected only in the case of maps satisfying special conditions. As we shall see, such conditions can hold for diagrams over presentations of many groups which do not satisfy conventional conditions of the form .(.) on the amount of cancellation between rela

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Modellierung der Lieferkettenresilienz,l formulations of the problem is as follows: is every periodic group with a finite number of generators finite? Under the extra condition of solubility, the answer is positive and quite simple (Corollary 7.1). The answer is also positive for matrix groups over fields (see Burnside [33], Schur [225],

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,Führungsaufgaben des IT-Managements,f the cells were distinguished as special. Of course, power relations are a very special type of defining relation. Many group properties are connected with relations of a more complicated form. For instance, we considered in §13 a problem that led to relations containing long periodic words separat

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978-94-010-5605-2Springer Science+Business Media Dordrecht 1991

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Geometry of Defining Relations in Groups978-94-011-3618-1Series ISSN 0169-6378