Character Degrees of Extensions of PSL2(q) and SL2(q)
نویسنده
چکیده
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) is used along with standard Clifford theory to obtain the degrees.
منابع مشابه
Character Degrees of Extensions of PSL2(q)
Denote by S the 2-dimensional 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). Explicit knowledge of the character tables of PSL2(q) and PGL2(q) is used along with standard Clifford theory to obtain the degrees.
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تاریخ انتشار 2012