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 the pages 14, 15, 24 and xi to xix). The line numbering provided facilitates and shall encourage (Scholarly Peer) Review. This edition completes the Endnote g of the 3rd edition without line numbering (ISBN 978-3-7543-3213-9) with all 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 so marvellous Freiburg i.Br. in 1985. From February 1981 until April 1985 he was affiliated to the 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.
(minimal) p-uniqueness subgroup locally finite group satisfying the (strong) Sylow Theorem for the prime p singular Sylow p-subgroup (very) good Sylow p-subgroup conjugacy of maximal (= Sylow) p-subgroups