Band 3
The Strong Sylow Theorem for the Prime p in Projective Special Linear Locally Finite Groups - Part 3 of a Trilogy Manuscript on Sylow theory in locally finite groups - Part 3 of a Trilogy
Aus der Reihe
Sylow Theory in Locally Finite Groups
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Sprache:Englisch
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Auflage:2. Auflage
- 2. Auflage Fr. 61.90 ausgewählt
- 5. Auflage Fr. 37.90
Fr. 61.90
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Gebundene Ausgabe
Erscheinungsdatum
27.11.2023
Abbildungen
mit 48 Farbabbildungen
Verlag
BoD – Books on DemandSeitenzahl
48
Maße (L/B/H)
30.3/21.5/0.8 cm
Gewicht
437 g
Auflage
2. Auflage
Sprache
Englisch
ISBN
978-3-7578-6001-1
In Part 3 of the First 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 = PSLn". We start with proving the beautiful 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), -> regarding the (locally) finite and p-soluble groups, and -> regarding Augustin-Louis Cauchy's and Évariste Galois' contributions to Sylow theory in finite groups, which culminate in the announcement of a Second Trilogy.
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