Authors
Citation
Ml. Lewis, DERIVED LENGTHS AND CHARACTER DEGREES, Proceedings of the American Mathematical Society, 126(7), 1998, pp. 1915-1921
Citations number
10
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
ISSN journal
00029939
Volume
126
Issue
7
Year of publication
1998
Pages
1915 - 1921
Database
ISI
SICI code
0002-9939(1998)126:7<1915:DLACD>2.0.ZU;2-4
Abstract
Let G be a finite solvable group. Assume that the degree graph of G ha
s exactly two connected components that do not contain 1. Suppose that
one of these connected components contains the subset {a(1), ..., a(n
}), where a(i) and a(j) are coprime when i not equal i. Then the deriv
ed length of G is less than or equal to \cd(G)\ - n + 1.