Berkovich (U. of Haifa) and Janko (North Dakota State U.) continue their exposition of elementary parts of p-group theory, assuming that readers have already made their way through the first two volum
This is theforth volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume includetheory of linear algebrasand Liealgebras.The book contains many dozen
This is the fifth volume of a comprehensive and elementary treatment of finitep-group theory. Topics covered in this volume include theory of linear algebras and Lie algebras.The book contains many do
Berkovich (retired, mathematics, U. of Haifa, Israel) continues his exposition of the theory of finite prime power order groups (p-groups), moving on to more complex materials and adding material on 2
The coclass project (1980-1994) provided a new and powerful way to classify finite p-groups. This monograph gives a coherent account of the thinking out of which developed the philosophy that lead to
The purpose of this book is to study the relation between the representation ring of a finite group and its integral cohomology by means of characteristic classes. In this way it is possible to extend the known calculations and prove some general results for the integral cohomology ring of a group G of prime power order. Among the groups considered are those of p-rank less than 3, extra-special p-groups, symmetric groups and linear groups over finite fields. An important tool is the Riemann - Roch formula which provides a relation between the characteristic classes of an induced representation, the classes of the underlying representation and those of the permutation representation of the infinite symmetric group. Dr Thomas also discusses the implications of his work for some arithmetic groups which will interest algebraic number theorists. Dr Thomas assumes the reader has taken basic courses in algebraic topology, group theory and homological algebra, but has included an appendix in w