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Information Seminar Paper

Title

CHARACTERIZATION OF SOME PROJECTIVE SPECIAL LINEAR GROUPS BY CHARACTER DEGREEE GRAPH AND ORDER

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Abstract

 THE CHARACTER DEGREE GRAPH OF A FINITE GROUP G IS THE GRAPH WHOSE VERTICES ARE THE PRIME DIVISORS OF THE IRREDUCIBLE CHARACTER DEGREES OF G AND TWO VERTICES P AND Q ARE JOINED BY AN EDGE IF PQ DIVIDES SOME IRREDUCIBLE CHARACTER DEGREE OFG. IN THIS TALK WE PROVE THAT THE SIMPLE GROUPS PSL (2, P3) AND PSL (2, P4), WHERE P  11 IS A PRIME NUMBER, ARE UNIQUELY DETERMINED BY THEIR CHARACTER DEGREE GRAPHS AND THEIR ORDERS. LET C1 (G) BE THE SET OF ALL IRREDUCIBLE COMPLEX CHARACTER DEGREES OF G COUNTING MULTIPLICITIES. AS A CONSEQUENCE OF OUR RESULTS WE PROVE THAT IFG IS A FINITE GROUP SUCH THAT C1 (G) =C1 (PSL (2, Q)), WHERE Q=P3 OR Q=P4 AND P ³ 11 IS A PRIME, THEN G @ PSL (2, Q). THIS IMPLIES THAT PSL (2, Q) IS UNIQUELY DETERMINED BY THE STRUCTURE OF ITS COMPLEX GROUP ALGEBRA.

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    • Cite

    APA: Copy

    MOMENI, ZAHRA, & Khosravi, Behrooz. (). . . SID. https://sid.ir/paper/938690/en

    Vancouver: Copy

    MOMENI ZAHRA, Khosravi Behrooz. . . Available from: https://sid.ir/paper/938690/en

    IEEE: Copy

    ZAHRA MOMENI, and Behrooz Khosravi, “,” presented at the . , [Online]. Available: https://sid.ir/paper/938690/en

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