Buch, Englisch, Band Volume 1, 512 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 1071 g
Reihe: Groups of Prime Power Order
Buch, Englisch, Band Volume 1, 512 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 1071 g
Reihe: Groups of Prime Power Order
ISBN: 978-3-11-020418-6
Verlag: De Gruyter
This is the first of three volumes of a comprehensive and elementary treatment of finite -group theory. Topics covered in this monograph include: (a) counting of subgroups, with almost all main counting theorems being proved, (b) regular -groups and regularity criteria, (c)-groups of maximal class and their numerous characterizations, (d) characters of -groups, (e) -groups with large Schur multiplier and commutator subgroups, (f) (?1)-admissible Hall chains in normal subgroups, (g) powerful -groups, (h) automorphisms of -groups, (i) -groups all of whose nonnormal subgroups are cyclic, (j) Alperin's problem on abelian subgroups of small index.
The book is suitable for researchers and graduate students of mathematics with a modest background on algebra. It also contains hundreds of original exercises (with difficult exercises being solved) and a comprehensive list of about 700 open problems.
Zielgruppe
Researchers, Graduate Students of Mathematics; Academic Libraries
