A new characterization for the simple group PSL(2, p 2) by order and some character degrees
نویسندگان
چکیده
منابع مشابه
A CHARACTERIZATION OF PGL(2, p) BY SOME IRREDUCIBLE COMPLEX CHARACTER DEGREES
For a finite group G, let cd(G) be the set of irreducible complex character degrees of G forgetting multiplicities and X1(G) be the set of all irreducible complex character degrees of G counting multiplicities. Suppose that p is a prime number. We prove that if G is a finite group such that |G| = |PGL(2, p)|, p ∈ cd(G) and max(cd(G)) = p+1, then G ∼= PGL(2, p), SL(2, p) or PSL(2, p) × A, where ...
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Denote by S the projective special linear group PSL2(q) over the field of q elements. We determine, for all values of q > 3, the degrees of the irreducible complex characters of every group H such that S 6 H 6 Aut(S). We also determine the character degrees of certain extensions of the special linear group SL2(q). Explicit knowledge of the character tables of SL2(q), GL2(q), PSL2(q), and PGL2(q...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2015
ISSN: 0011-4642,1572-9141
DOI: 10.1007/s10587-015-0173-6