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Properties of the characters of groups of odd order with respect to a set of primes

โœ Scribed by R. Gow


Book ID
112499603
Publisher
Springer
Year
1980
Tongue
English
Weight
336 KB
Volume
34
Category
Article
ISSN
0003-889X

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๐Ÿ“œ SIMILAR VOLUMES


Fitting heights of odd-order groups with
โœ Jeffrey M. Riedl ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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