Groups of Prime Power Order. Volume 3

von Yakov Berkovich, Zvonimir Janko

639 Seiten, Hardcover

Kurzbeschreibung des Verlags

This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume: impact of minimal nonabelian subgroups on the structure of p-groups, classification of groups all of whose nonnormal subgroups have the same order, degrees of irreducible characters of p-groups associated with finite algebras, groups covered by few proper subgroups, p-groups of element breadth 2 and subgroup breadth 1, exact number of subgroups of given order in a metacyclic p-group, soft subgroups, p-groups with a maximal elementary abelian subgroup of order p2, p-groups generated by certain minimal nonabelian subgroups, p-groups in which certain nonabelian subgroups are 2-generator. The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.

• Reihe: De Gruyter Expositions in Mathematics
• ISBN: 9783110207170
• Sprache: Englisch
• Erscheinungsdatum: 16.06.2011
• Genre: Mathematik/Allgemeines, Lexika
• Verlag: De Gruyter