Groups of Prime Power Order, Volume 3 (De Gruyter Expositions in Mathematics, 56, Band 3) - Hardcover

Berkovich, Yakov

Hardcover

ISBN 10: 3110207176 ISBN 13: 9783110207170

Verlag: de Gruyter, 2011

Inhaltsangabe

This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume: (a) impact of minimal nonabelian subgroups on the structure of p-groups, (b) classification of groups all of whose nonnormal subgroups have the same order, (c) degrees of irreducible characters of p-groups associated with finite algebras, (d) groups covered by few proper subgroups, (e) p-groups of element breadth 2 and subgroup breadth 1, (f) exact number of subgroups of given order in a metacyclic p-group, (g) soft subgroups, (h) p-groups with a maximal elementary abelian subgroup of order p², (i) p-groups generated by certain minimal nonabelian subgroups, (j) 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.

Über diesen Titel

Über die Autorin bzw. den Autor

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

Von der hinteren Coverseite

This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume: (a) impact of minimal nonabelian subgroups on the structure of p-groups, (b) classification of groups all of whose nonnormal subgroups have the same order, (c) degrees of irreducible charactersof p-groups associated with finite algebras, (d) groups covered by few proper subgroups, (e) p-groups of element breadth 2 and subgroup breadth 1, (f) exact number of subgroups of given order in a metacyclic p-group, (g) soft subgroups, (h) p-groups with a maximal elementary abelian subgroup of order p2, (i) p-groups generated by certain minimal nonabelian subgroups, (j) 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.

Details zur Ausgabe

• Verlag: de Gruyter
• Erscheinungsdatum: 2011
• Sprache: Englisch
• ISBN 10: 3110207176
• ISBN 13: 9783110207170
• Einband: Gebundene Ausgabe
• Auflage: 1
• Anzahl der Seiten: 668
• Kontakt zum Hersteller: Walter de Gruyter GmbH; productsafety@degruyterbrill.com; ; Genthiner Straße 13; Berlin; 10785; Deutschland