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pro vyhledávání: '"Yakov G. Berkovich"'
Autor:
Yakov G. Berkovich, Zvonimir Janko
This is the sixth volume of a comprehensive and elementary treatment of finite group theory. This volume contains many hundreds of original exercises (including solutions for the more difficult ones) and an extended list of about 1000 open problems.
This updated edition of this classic book is devoted to ordinary representation theory and is addressed to finite group theorists intending to study and apply character theory. It contains many exercises and examples, and the list of problems contain
Autor:
Yakov G. Berkovich, Zvonimir Janko
This is the fifth volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume include theory of linear algebras and Lie algebras. The book contains many dozens of original exercises (with difficult exerc
Autor:
Yakov G. Berkovich, Zvonimir Janko
This is the fourth volume of a comprehensive and elementary treatment of finite p-group theory. As in the previous volumes, minimal nonabelian p-groups play an important role. Topics covered in this volume include: subgroup structure of metacyclic p-
This updated edition of this classic book is devoted to ordinary representation theory and is addressed to finite group theorists intending to study and apply character theory. It contains many exercises and examples, and the list of problems contain
Autor:
Yakov G. Berkovich
Publikováno v:
Proceedings of the American Mathematical Society. 116:585-590
A. Kulakoff (Math. Ann. 104 (1931), 778-793) proved that for p > 2 p > 2 the number of solutions of the equation x p k = e {x^{{p^k}}} = e ( e e is a unit element of G G ) in a finite noncyclic p p -group G G is divisible by p k + 1 {p^{k + 1}} if ex
Autor:
Yakov G. Berkovich
Publikováno v:
Israel Journal of Mathematics. 73:107-112
A. Kulakoff [9] proved that forp>2 the numberN k =N k (G) of solutions of the equationx p k =e in a non-cyclicp-groupG is divisible byp k+1. This result is a generalization of the well-known theorem of G. A. Miller asserting that the numberC k =C k (