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Bounding the order of a group with a large character degree

✍ Scribed by I.M. Isaacs


Book ID
113675264
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
170 KB
Volume
348
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


Fitting heights of odd-order groups with
✍ Jeffrey M. Riedl πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 235 KB

If G is any finite solvable group having a normal Sylow 2-subgroup (in particular, if |G| is odd) and satisfying |cd(G)| 5, where cd(G) is the set of ordinary irreducible character degrees of G, we show that the Fitting height of G does not exceed |cd(G)| -2. In case |cd(G)| = 5, this upper bound on