Yakov G. Berkovich; Lev S. Kazarin; Emmanuel M. Zhmud': Characters of Finite Groups. Volume 1

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 contains a number of open questions. List of frequently met concepts and notations 6 Preface 12 Contents 20 I. Basic concepts 24 II. Characters 88 III. On arithmetical properties of characters 114 IV. Products of characters 158 V. Induced characters and representations 204 VI. Projective representations 260 VII. Clifford theory 324 VIII. Brauer’s induction theorems 396 IX. Faithful characters 420 X. Existence of normal subgroups 478 XI. On sums of degrees of irreducible characters 544 Bibliography 582 Author index 610 Subject index 614