This publication presents the most essential portions of the author's German Diplomarbeit of 1984 and a "sprinkling" of new considerations and results as well which earnestly try to propose coming directions for the (timeless and eternal) Sylow theory in (locally) finite groups (see pages 14, 15, 24, xi, xii, xiii, xiv and xv). The 3rd edition improves the 2nd edition (ISBN 978-3-7543-0709-0) by a number of clarifications and corrections (of misprints et alia) and also expands the Endnote g quite substantially with a majority of (very classical) proofs.
Felix F. Flemisch
Dipl.-Math. Felix F. Flemisch proudly received his degree Bacc.Math. in 1974 from the Albert-Ludwigs-Universität at lovely Freiburg im Breisgau, his degree M.Sc. in 1975 from the University of London, and finally his degree Dipl.-Math. at marvellous Freiburg i.Br. in 1985. From February 1981 until April 1985 he was affiliated to Albert-Ludwigs-Universität Freiburg im Breisgau, Universitätsklinikum Freiburg, Institut für Medizinische Biometrie und Statistik (IMBI). Since May 1985 he was working for the telecom industry. Since October 2016 he is retired.
locally finite group satisfying the (strong) Sylow Theorem for the prime p (minimal) p-uniqueness subgroup (very) good Sylow p-subgroup conjugacy of maximal (= Sylow) p-subgroups singular Sylow p-subgroup