Repositorio UMSNH

Listar por autor "Raggi Cárdenas, Alberto Gerardo"

Listar por autor "Raggi Cárdenas, Alberto Gerardo"

Ordenar por:Orden:Resultados:

  • García Claro, Elias Javier (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2014-05)
    Given a saturated fusion system F on a finite p-group S we define a ring A(F ) modeled on the Burnside ring A(G) of a finite group. We show that these rings have several properties in common. When F is the fusion system ...
  • Huitrado Mora, Alejandra Fabiola (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2011-06)
    Let G be a finite group, the Burnside ring B (G) is one of the fundamental representation rings of G. This work is divided into three chapters. We begin with the notation necessary for the development of the work. Continues ...
  • Ibarra Tacho, Jesús Tadeo (Universidad Michoacana de San Nicolás de Hidalgo, 2014-02)
    We define for a commutative ring R, an additive category CR such that contains a full subcategory DR and for every finite group G, subcategories SG,R, with DR equivalent to the biset category, SG,R equivalent to the ...
  • Rosas Martínez, Itzel (Universidad Michoacana de San Nicolás de Hidalgo, 2023-08)
    In this work we introduce basic notions of the theory of biset functors defined on small categories. Classic theory of biset functors is defined on finite groups, and is in that context that they are strongly linked to ...
  • García Hernández, Benjamín Aziel (Universidad Michoacana de San Nicolás de Hidalgo, 2018-11)
    Here we present a deep study on the Yoneda-Dress construction of the functor of linear representations over a field of characteristic zero, its essential algebras and its category of modules, like an attempt of generilize ...
  • Ruiz López, Luis Antonio (Universidad Michoacana de San Nicolás de Hidalgo, 2011-02)
    For more than 5000 years, geometry has played an essential role in the development of mathematics, perhaps because sight is the sense with which the human being better perceives and understands what surrounds him. Geometry ...
  • Torres Sánchez, Citlali Roberta (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2017-06)
    The theory of representations and characters was introduced by Frobenious and others around of 1896. Frobenios defined the characters as functions of a finite group G to C associated with the CG-modules, and new results ...
  • Calderón León, José Miguel (Universidad Michoacana de San Nicolás de Hidalgo, 2023-11)
    Before delving into the work accomplished, it is important to note that it focuses on two fundamental problems. The first involves the generalization of the method employed by Bouc [7], where the Burnside functor with ...
  • Villa Hernández, David (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2007-12)
    In the first section of Chapter 1 of this thesis you will see basic concepts of group theory. Definitely the concept G-sets as well as that of a G-orbit. We will give examples of G-sets and isomorphism's between them, which ...
  • Cardona Echenique, Karley Tatiana (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2016-02)
    This paper will examine in detail the construction and some important properties of the global representation rings that generalizes and related properties of representations ring, the monomial ring and ring Burnside. ...
  • Calderón León, José Miguel (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2019-08)
    In this thesis, we give two definitions of bisets categories and the definition of the Green funtors associated to each of them. The aim of this document is to proof the equivalence of the two definitions of Green functors ...
  • García Hernández, Benjamín Aziel (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2014-06)
    In this thesis, given a Green biset functor A, we provide an equivalence between the categories A -Mod and Funo (PA; R-Mod), which gives us a new definition of an A-module, analogous to the definition of a biset functor. ...