Groups of Prime Power Order. Volume 3

1. Auflage 2011
ISBN: 978-3-11-020717-0
Verlag: De Gruyter

Buch, Englisch, Band Volume 3, 639 Seiten, HC runder Rücken kaschiert, Format (B × H): 175 mm x 246 mm, Gewicht: 1432 g

Reihe: Groups of Prime Power Order

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.

Zielgruppe

Researchers, Graduate Students of Mathematics; Academic Libraries

Autoren/Hrsg.

Janko, Zvonimir

Berkovich, Yakov

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Über Autor(innen)

Janko, Zvonimir
Zvonimir Janko, Heidelberg University, Germany

Berkovich, Yakov
Yakov Berkovich, University of Haifa, Israel

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