By Yakov Berkovich,Zvonimir Janko

This is the second one of 3 volumes dedicated to trouble-free finite *p*-group concept. just like the 1st quantity, hundreds and hundreds of significant effects are analyzed and, in lots of situations, simplified. vital subject matters awarded during this monograph contain: (a) class 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 2^{n} > 2, (f) new proofs of Blackburn's theorem on minimum nonmetacyclic teams, (g) class of *p*-groups all of whose subgroups of index *p*^{2} are abelian, (h) category of 2-groups all of whose minimum nonabelian subgroups have order eight, (i) *p*-groups with cyclic subgroups of index *p*^{2} are classified.

This quantity comprises hundreds of thousands of unique workouts (with all tricky routines being solved) and a longer checklist of approximately seven-hundred open difficulties. The publication relies on quantity 1, and it really is appropriate for researchers and graduate scholars of arithmetic with a modest historical past on algebra.

**Read Online or Download Groups of Prime Power Order. Volume 2 (De Gruyter Expositions in Mathematics) PDF**

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**Groups of Prime Power Order. Volume 2 (De Gruyter Expositions in Mathematics)**

This is often the second one of 3 volumes dedicated to straightforward finite p-group idea. just like the 1st quantity, thousands of vital effects are analyzed and, in lots of circumstances, simplified. very important subject matters awarded during this monograph comprise: (a) category of p-groups all of whose cyclic subgroups of composite orders are common, (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) 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) category of p-groups all of whose subgroups of index p2 are abelian, (h) class of 2-groups all of whose minimum nonabelian subgroups have order eight, (i) p-groups with cyclic subgroups of index p2 are categorized.

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