关于任意有限群的非正则generalized character的极小范数
On the minimal norm of a non-regular generalized character of an arbitrary finite group
摘要：
证明了对任意有限群G，G的任意广义特征标在G的所有非单位元上不为零的平方绝对值在非单位元上的和至少为|G| /d-1，其中d是G的一个复不可约特征标的最大次数，并给出了所有可能达到这一最小值的情形.
英文摘要：
We prove that for any finite group G, the sum across non-identity elements of the squared absolute value of any generalized character of G which does not vanish on all non-identity elements of G is at least |G|/d -1, where d is the maximal degree of a complex irreducible character of G, and we identify all cases where this minimum possible value is attained.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
