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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

AnÃis de grupos inteiros de grupos de Frobenius / Integral group rings of Frobenius groups

Nefran Sousa Cardoso 28 February 2002 (has links)
Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico / Esta dissertaÃÃo està dividida em dois capÃtulos. O primeiro capÃtulo apresenta os AnÃis de Grupos, os Grupos de Frobenius e suas respectivas propriedades. No inÃcio do segundo capÃtulo sÃo apresentadas as Conjecturas de Zassenhaus. A versÃo mais fraca dessas conjecturas à demonstrada para Grupos de Amitsur. No final do segundo capÃtulo, a validade dessa mesma versÃo à provada para Grupos de Frobenius.Tais Grupos de Frobenius sÃo aqueles cujo complemento verifica-se a validade dessa conjectura. Na parte final sÃo apresentados os subgrupos de Hall e o Teorema de Schur-Zassenhaus. / This dissertation is divided into two chapters. The first chapter introduces the Group Rings, the Frobenius Groups and their properties. In the beginning of the second chapter are presented Conjectures of Zassenhaus . The weaker version of these conjectures is demonstrated for Amitsur Groups. At the end of the second chapter, the validity of that version is proven to Frobenius Groups. Such Frobenius Groups are those whose complement, checks the validity of this conjecture. In the final part we present the Hall subgroups and Schur-Zassenhaus Theorem.

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