@article{97edc0e7c9fa41608a75f5452077e5ef,
title = "On the length of the conjugacy classes of finite groups",
abstract = "Let G be a finite group. The question of how certain arithmetical conditions on the degrees of the irreducible characters of G influence the group structure was studied by several authors. Our purpose here is to impose analogous conditions on the lengths of the conjugacy classes of G and to describe the group structure under these conditions.",
author = "David Chillag and Marcel Herzog",
note = "Funding Information: *This article was written during the summer of 1988, when the authors were visiting the Johannes-Gutenberg University of Mainz, a visit supported by the DFG as part of the research project “Darstellungstheorie von endliche Gruppen.” We would like to thank the DFG for its support and the Department of Mathematics at the University of Mainz for the help and hospitality. We are grateful to Professor Bertram Huppert for suggesting some of these problems to us and for many helpful discussions.",
year = "1990",
month = may,
day = "15",
doi = "10.1016/0021-8693(90)90168-N",
language = "אנגלית",
volume = "131",
pages = "110--125",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
number = "1",
}