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The Strong Sylow Theorem for the Prime p in Projective Special Linear Locally Finite Groups - Part 3 of a Trilogy24,99 €![The Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups]( "The Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups")
The Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups49,99 €![About the Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups - Part 2 of a Trilogy]( "About the Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups - Part 2 of a Trilogy")
About the Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups - Part 2 of a Trilogy19,99 €![Characterising Locally Finite Groups Satisfying the Strong Sylow Theorem for the Prime p - Part 1 of a Trilogy]( "Characterising Locally Finite Groups Satisfying the Strong Sylow Theorem for the Prime p - Part 1 of a Trilogy")
Characterising Locally Finite Groups Satisfying the Strong Sylow Theorem for the Prime p - Part 1 of a Trilogy49,99 €![Characterising locally finite groups satisfying the strong Sylow Theorem for the prime p]( "Characterising locally finite groups satisfying the strong Sylow Theorem for the prime p")
Characterising locally finite groups satisfying the strong Sylow Theorem for the prime p29,99 €![Characterising locally finite groups satisfying the strong Sylow Theorem for the prime p]( "Characterising locally finite groups satisfying the strong Sylow Theorem for the prime p")
Characterising locally finite groups satisfying the strong Sylow Theorem for the prime p24,99 €![First Trilogy about Sylow Theory in Locally Finite Groups]( "First Trilogy about Sylow Theory in Locally Finite Groups")
First Trilogy about Sylow Theory in Locally Finite Groups119,99 €
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") andthe 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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Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.