Titlebook: Infinite Linear Groups; An Account of the Gr Bertram A. F. Wehrfritz Book 1973 Springer-Verlag Berlin Heidelberg 1973 Abelian group.Finite.

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The Homomorphism Theorems,y free abelian group, but not every abelian group, has faithful representations of finite degree over some field. This raises two questions. Firstly, for which classes-of-groups ? are homomorphic images of linear ?-groups necessarily isomorphic to linear groups? Secondly, given an arbitrary linear g

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The Jordan Decomposition and Splittable Linear Groups,. is unipotent if and only if all the eigenvalues of . are 1, which happens if and only if there exists an element g of GL(.) such that . is unitriangular. In this case . has infinite order if char . = 0 and is a .-element if char .>0.

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A Localizing Technique and Applications,ues we have seldom used the linear structure of the matrix ring to accomplish this. The object of this chapter is to describe a general method for extending theorems from finitely generated linear groups to more general linear groups that relies heavily on the linearity. Although the fundamental res

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Appendix on Algebraic Groups,sed subgroups of GL(., .). Our first aim is to give an account of these results, and in most cases also their proofs. In a number of places in this book we have skirted round some of these properties of algebraic groups and here and there we have come very close to using them. I hope that this chapt

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https://doi.org/10.1007/978-3-642-87081-1Abelian group; Finite; Group theory; Groups; Groups of Matrices; Morphism; Unendliche lineare Gruppe; matri

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978-3-642-87083-5Springer-Verlag Berlin Heidelberg 1973