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Anglický jazyk
The Strong Sylow Theorem for the Prime p in Projective Special Linear Locally Finite Groups - Part 3 of a Trilogy
Autor: Dipl. -Math. Felix F. Flemisch
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... Viac o knihe
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O knihe
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 Theorem about the first type of infinite families of finite simple groups step-by-step to further types by proving it for the second type. 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 rank-unbounded types (the "Classical Groups") and the way 2) and also regarding p-soluble groups.
- Vydavateľstvo: Books on Demand
- Rok vydania: 2023
- Formát: Paperback
- Rozmer: 297 x 216 mm
- Jazyk: Anglický jazyk
- ISBN: 9783756898534
