The Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups – De Luxe Edition – February 2026 Issue

This JMCA Research Article extends the wonderfully beautiful JMCA Research Article “The Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups” ( see https://www.onlinescientificresearch.com/articles/the-strong-sylow-theorem-for-the-prime-p-in-simple-locally-finite-groups.pdf ) from 71 pages to 226 pages by adding Pages i to viii, -1 to -24, 72 to 266, and ix to x (see Page v). Pages i to -24 start with this Abstract and then gladly honour Prof. Otto H. Kegel’s beautiful paper [44], thereby explaining its relationship to its main result and to the 71-pages Research Article, and commenting on its final considerations. They then give an overview of the 226-pages Research Article, including some venues, the Front Cover and a Table of Contents, and explain in great detail the relationships of the 71-pages Research Article to JMCA and to the Ischia Group Theory (IGT) 2024 Conference and to its upcoming Proceedings, centred around the Talk given by the author at the Conference on April 11, the 120th birthday of Prof. Philip Hall. They then present a List of ten Open Issues most of which the author has solved already in yet unpublished work and describe the Issues of the De Luxe Edition. After remembering Rudi Schuricke’s magnificient Florentinische Nächte and the author’s wedding, they close with a Table of Contents of the Pages 1 to 266 which are contained in the May 2025 Issue. We nevertheless summarise the contents of Pages 72 to x. They start with a dedication to Helga (see Page 15), continue with the PowerPoint Presentation at IGT 2024, honour Ludvig M. Sylow, the discoverer and explorer of Sylow Theory, recall that Ischia was twice an Artist Colony, remember Philip Hall’s and Graham Higman’s very fundamental paper “On the p-Length of p-Soluble Groups and Reduction Theorems for Burnside’s Problem” thereby well explaining its relationship to the 71-pages Research Article, recall Some Historicals on Group Theory, in particular Philip Hall’s unpublished hand-written Lecture Notes on Group Theory and show these beautiful Lecture Notes completely on the 148 Pages 103 to 250, show a presentation of Wikipedia’s Classification of finite simple groups, remember Prof. Kegel and Prof. Hall at the famous Mathematisches Forschungsinstitut Oberwolfach (MFO), and finally as a great Back Cover refer to Philip Hall’s Archive at the London Mathematical Society and again to his Lecture Notes, and close by showing Who is Felix F. Flemisch & Another Abstract of the 71-pages Research Article.