Treffer: The largest character degree and the Sylow subgroups of finite groups: The largest character degree and the Sylow subgroups of finite groups.
Title:
The largest character degree and the Sylow subgroups of finite groups: The largest character degree and the Sylow subgroups of finite groups.
Authors:
Source:
Journal of Algebra. 277:165-171
Publisher Information:
Elsevier BV, 2004.
Publication Year:
2004
Subject Terms:
Ordinary representations and characters, Algebra and Number Theory, degrees of irreducible characters, Sylow subgroups, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure, character degree bounds, Finite group, Sylow subgroup, 0101 mathematics, 01 natural sciences, Character degree, Arithmetic and combinatorial problems involving abstract finite groups
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Language:
English
ISSN:
0021-8693
DOI:
10.1016/j.jalgebra.2003.02.009
Access URL:
Rights:
Elsevier Non-Commercial
Accession Number:
edsair.doi.dedup.....11d714c9ead4a15dbd356f94f3f3c72b
Database:
OpenAIRE
Weitere Informationen
Let \(P\) be a Sylow \(p\)-subgroup of a finite group \(G\) and let \(b(G)\) denote the largest degree of an irreducible complex character of \(G\). In the paper under review the authors show: For any finite group \(G\) the following bounds hold: a) \(|P/O_p(G)