Characterising locally finite groups satisfying the strong Sylow Theorem for the prime p

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.