Geodesic
Orbits and Stabilizers for Solvable Linear Groups
Canadian mathematical bulletin, Tome 49 (2006) no. 2, pp. 285-295

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DOI

We extend a result of Noritzsch, which describes the orbit sizes in the action of a Frobenius group $G$ on a finite vector space $V$ under certain conditions, to a more general class of finite solvable groups $G$ . This result has applications in computing irreducible character degrees of finite groups. Another application, proved here, is a result concerning the structure of certain groups with few complex irreducible character degrees.
DOI : 10.4153/CMB-2006-030-1
Mots-clés : 20B99, 20C15, 20C20 
Riedl, Jeffrey M. Orbits and Stabilizers for Solvable Linear Groups. Canadian mathematical bulletin, Tome 49 (2006) no. 2, pp. 285-295. doi: 10.4153/CMB-2006-030-1
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     title = {Orbits and {Stabilizers} for {Solvable} {Linear} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {285--295},
     year = {2006},
     volume = {49},
     number = {2},
     doi = {10.4153/CMB-2006-030-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-030-1/}
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