Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order - Volume 3: Groups of Prime Power Order. Volume 3. Vol.3

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.

About the author

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

Product details

• Authors: Yakov Berkovich, Zvonimir Janko
• Publisher: De Gruyter
• Languages: English
• Product format: Hardback
• Released: 16.06.2011
• EAN: 9783110207170
• ISBN: 978-3-11-020717-0
• No. of pages: 639
• Weight: 1250 g
• Sets: Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order; Groups of Prime Power Order
• Series: De Gruyter Expositions in Mathematics; ISSN; De Gruyter Expositions in Mathematics, 56
• Subject: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries