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In this paper, we show that $A_4$ is the only finite group with exactly two conjugacy classes of the same size having some non-real linear characters.
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참고문헌 (17)
참고문헌 신청
Y. Berkovich / 1996 / Finite solvable groups in which only two nonlinear irreducible characters have equal degrees / J. Algebra 184(2):584~603
Y. Berkovich / 1996 / Finite nonsolvable groups in which only two nonlinear irreducible characters have equal degrees / J. Algebra 184(2):538~560
Ya. G. Berkovich / 1998 / Characters of Finite Groups. Part 1 / American Mathematical Society
M. Bianchi / 2005 / Characterization of non-nilpotent groups with two irreducible character degrees / J. Algebra 284(1):326~332
C. M. Boner / 2001 / Finite groups with exactly two conjugacy classes of the same order / Rocky Mountain J. Math 31(2):401~416
Y. Berkovich / 1996 / Finite nonsolvable groups in which only two nonlinear irreducible characters have equal degrees / J. Algebra 184(2):538~560
Ya. G. Berkovich / 1998 / Characters of Finite Groups. Part 1 / American Mathematical Society
M. Bianchi / 2005 / Characterization of non-nilpotent groups with two irreducible character degrees / J. Algebra 284(1):326~332
C. M. Boner / 2001 / Finite groups with exactly two conjugacy classes of the same order / Rocky Mountain J. Math 31(2):401~416
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