By Berkovich, Yakov
This is often the second one of 3 volumes dedicated to straight forward finite p-group concept. just like the 1st quantity, 1000s of vital effects are analyzed and, in lots of situations, simplified. very important issues provided during this monograph contain: (a) type of p-groups all of whose cyclic subgroups of composite orders are common, (b) type 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) category of 2-groups with precisely 4 cyclic subgroups of order 2n > 2, (f) new proofs of Blackburn's theorem on minimum nonmetacyclic teams, (g) type of p-groups all of whose subgroups of index pÂ² are abelian, (h) class of 2-groups all of whose minimum nonabelian subgroups have order eight, (i) p-groups with cyclic subgroups of index pÂ² are labeled. This quantity includes 1000s of unique workouts (with all tough routines being solved) and a longer checklist of approximately seven-hundred open difficulties. The ebook relies on quantity 1, and it's compatible for researchers and graduate scholars of arithmetic with a modest historical past on algebra.