ISBN: 9783754336427 - about the strong sylow p-theorem in simple locally finite groups - part 2 of a trilogy: manuscript on sylow theory in locally finite groups - part 2 of a trilogy (6 Ergebnisse)

Zustand: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | Part 2 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" is based on the author's research paper "About the Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups". This very beautiful and pioneering manuscript had been submitted for peer reviewing to the open access journals Advances in Group Theory and Applications (AGTA) (see [LINK ENTFERNT] journal/) and Science Research Association (SCIREA) Journal of Mathematics (see [LINK ENTFERNT] journal/Mathematics) but was very regrettably rejected by both of them (with ridiculous arguments). We first give a profound overview of the structure of simple groups and in particular of the simple locally finite groups and reduce their Sylow theory for the prime p to a famous conjecture of Prof. Otto H. Kegel (see [16], Theorem 2.4: "Let the p-subgroup P be a p-uniqueness subgroup in the finite simple group S which belongs to one of the seven rank-unbounded families. Then the rank of S is bounded in terms of P.") about the rank-unbounded ones of the 19 known families of finite simple groups. Part 2 introduces a new scheme to describe the 19 families, the family T of types, defines the rank of each type, and emphasises the rôle of Kegel covers. This part presents a unified picture of known results all proofs of which are by reference and it is the actual reason why our title starts with "About". We then apply beautiful new ideas to prove the conjecture for the alternating groups (see Page ii). Thereupon we are remembering Kegel covers and *-sequences. Finally we suggest a plan how to prove and even how to optimise the conjecture step-by-step or peu à peu which leads to further quite tough conjectures thereby unifying Sylow theory in locally finite simple groups with Sylow theory in locally finite and p-soluble groups. For any unexplained terminology we refer to [6].…

Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware 24 pp. Englisch.

Buch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering.

Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Part 2 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 Spe.…

Buch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware 24 pp. Englisch.

Buch. Zustand: Neu. About the Strong Sylow p-Theorem in Simple Locally Finite Groups - Part 2 of a Trilogy | Manuscript on Sylow theory in locally finite groups - Part 2 of a Trilogy | Dipl. -Math. Felix F. Flemisch | Buch | Englisch | 2023 | Books on Demand GmbH | EAN 9783754336427 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand.…