In Part 3 of the Trilogy "Characterising Locally Finite Groups Satisfying the Strong Sylow Theorem for the Prime p" & "About the Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups" & "The Strong Sylow Theorem for the Prime p in Projective Special Linear Locally Finite Groups" we continue the program begun in [10] to optimise along the way 1) its beautiful Theorem about the first type "An" of infinite families of finite simple groups step-by-step to further types by proving it for the second type "A = PSL n". We start with proving the Conjecture 2 of [10] about the General Linear Groups over (commutative) locally finite fields, stating that their rank is bounded in terms of their p-uniqueness, and then break down this insight to the Special Linear Groups and the Projective Special Linear (PSL) Groups over locally finite fields. We close with suggestions for future research regarding the remaining five rank-unbounded types (the "Classical Groups") and the way 2), regarding the (locally) finite and p-soluble groups, and regarding Augustin-Louis Cauchy's and Évariste Galois' contributions to Sylow theory in finite groups.
Seguir leyendoexpand_more
Título : The Strong Sylow Theorem for the Prime p in Projective Special Linear Locally Finite Groups - Part 3 of a Trilogy
EAN : 9783757867799
Editorial : Books on Demand
Fecha de publicación
: 25/4/23
Formato : PDF
Tamaño del archivo : 12.82 mb
Protección : Aucune
El libro electrónico The Strong Sylow Theorem for the Prime p in Projective Special Linear Locally Finite Groups - Part 3 of a Trilogy está en formato PDF
- check_circle
Este eBook es compatible para su lectura en la aplicación Vivlio de iOs y Android.
- check_circle
Este eBook es compatible para leer en My Vivlio.
- check_circle
Este eBook es compatible para su lectura en el lector Vivlio.
- check_circle
Este libro electrónico es más adecuado para pantallas grandes que para las pequeñas porque no permite ajustar el tamaño de la letra.
¿Quieres leer en un eReader de otra marca? Sigue
nuestra guía.
Edición en Inglés
Conectarme
Mi cuenta