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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書目名稱Geometry of Defining Relations in Groups讀者反饋學(xué)科排名

stroke

小歌劇

Diagrams over Groups,ty of interpreting geometrically the deduction of consequences of relations in groups (which, however, remained unnoticed until the mid-sixties). It revealed a new connection between the ideas of combinatorial topology and combinatorial group theory. It was really new, and must not be confused with,

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-Maps,aded 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

abracadabra

Relations in Periodic Groups,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],

Iatrogenic

Iatrogenic

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

Parley

易發(fā)怒

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 certa

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vieweg studium; Aufbaukurs Mathematikn be found in a number of introductory monographs on the theory of groups as well as in many other books on general algebra (such as [256], [114], [123], [126], [128], [201] and [92]). Still, for the convenience of the reader, we found it worthwhile to include all the necessary definitions and conve