Download E-books Groups of Prime Power Order Volume 2 (de Gruyter Expositions in Mathematics) PDF
This can be the second one of 3 volumes dedicated to uncomplicated finite p-group concept. just like the 1st quantity, 1000s of vital effects are analyzed and, in lots of situations, simplified. very important subject matters offered during this monograph contain: (a) class of p-groups all of whose cyclic subgroups of composite orders are general, (b) category of 2-groups with precisely 3 involutions, (c) proofs of Ward's theorem on quaternion-free teams, (d) 2-groups with small centralizers of an involution, (e) class of 2-groups with precisely 4 cyclic subgroups of order 2n > 2, (f) new proofs of Blackburn's theorem on minimum nonmetacyclic teams, (g) category of p-groups all of whose subgroups of index p² are abelian, (h) category of 2-groups all of whose minimum nonabelian subgroups have order eight, (i) p-groups with cyclic subgroups of index p² are labeled. This quantity includes hundreds of thousands of unique workouts (with all tough workouts being solved) and a longer checklist of approximately seven hundred open difficulties. The publication is predicated on quantity 1, and it's appropriate for researchers and graduate scholars of arithmetic with a modest heritage on algebra.