Groups of Prime Power Order / Groups of Prime Power Order. Volume 2

Yakov Berkovich, Zvonimir Janko (Autoren)

Buch | Hardcover

XV, 596 Seiten

2008
De Gruyter (Verlag)
978-3-11-020419-3 (ISBN)

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This is the second of three volumes devoted to elementary finite p-group theory. Similar to the first volume, hundreds of important results are analyzed and, in many cases, simplified. Important topics presented in this monograph include: (a) classification of p-groups all of whose cyclic subgroups of composite orders are normal, (b) classification of 2-groups with exactly three involutions, (c) two proofs of Ward's theorem on quaternion-free groups, (d) 2-groups with small centralizers of an involution, (e) classification of 2-groups with exactly four cyclic subgroups of order 2n > 2, (f) two new proofs of Blackburn's theorem on minimal nonmetacyclic groups, (g) classification of p-groups all of whose subgroups of index p2 are abelian, (h) classification of 2-groups all of whose minimal nonabelian subgroups have order 8, (i) p-groups with cyclic subgroups of index p2 are classified. This volume contains hundreds of original exercises (with all difficult exercises being solved) and an extended list of about 700 open problems. The book is based on Volume 1, and it is suitable for researchers and graduate students of mathematics with a modest background on algebra.

Yakov Berkovich, University of Haifa, Israel; Zvonimir Janko, Universität Heidelberg.

"Again, buy these books and learn from it!"
R.W. van der Waall in: Zentralblatt MATH 1168

Erscheint lt. Verlag	17.11.2008
Reihe/Serie	De Gruyter Expositions in Mathematics ; 47
Reihe/Serie	Groups of Prime Power Order ; Volume 2
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Gewicht	1124 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Schlagworte	group theory • Group Theory; Order; Primes • Gruppentheorie • Hardcover, Softcover / Mathematik/Arithmetik, Algebra • HC/Mathematik/Arithmetik, Algebra • Order • Primes • Primzahl • Zyklische Ordnung
ISBN-10	3-11-020419-3 / 3110204193
ISBN-13	978-3-11-020419-3 / 9783110204193
Zustand	Neuware