Some simple groups which are determined by the set of their character degrees I
Huppert, Bertram
Illinois J. Math., Tome 44 (2000) no. 4, p. 828-842 / Harvested from Project Euclid
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The following conjecture is studied. Let $G$ be a simple nonabelian group. If $H$ is any group which has the same set of character degrees as $G$, then $H \cong G \times A$, where $A$ is abelian. In the present paper this is proved if $G$ is a Suzuki group on some $SL(2,2^{f})$.
Publié le : 2000-12-15
Classification:  20C15,  20D08,  20D60 
@article{1255984694,
     author = {Huppert, Bertram},
     title = {Some simple groups which are determined by the set of their character degrees I},
     journal = {Illinois J. Math.},
     volume = {44},
     number = {4},
     year = {2000},
     pages = { 828-842},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255984694}
}

Huppert, Bertram. Some simple groups which are determined by the set of their character degrees I. Illinois J. Math., Tome 44 (2000) no. 4, pp.  828-842. http://gdmltest.u-ga.fr/item/1255984694/