论文标题
由$ l'$ - 类上的值确定的交替和对称组的字符和投影字符
Characters and projective characters of alternating and symmetric groups determined by values on $l'$-classes
论文作者
论文摘要
本文识别了交替组的所有成对的普通不可约性字符，这些字符同意订单元素的共轭类别，而不是固定整数$ l $，以$ l \ neq 3 $排除。我们对对称组和交替组的双重覆盖率做同样的事情。唯一的字符是由分区标记的偶联或关联对，特定参数可除以$ l $。当$ l $是主要的时，这意味着$ l $模块化分解矩阵的行除外，除了这些对标记的行。当$ L = 3 $时，我们展示了许多此类字符的其他示例。
This paper identifies all pairs of ordinary irreducible characters of the alternating group which agree on conjugacy classes of elements of order not divisible by a fixed integer $l$, for $l \neq 3$. We do the same for the double covers of the symmetric and alternating groups. The only such characters are the conjugate or associate pairs labelled by partitions with a certain parameter divisible by $l$. When $l$ is prime, this implies that the rows of the $l$-modular decomposition matrix are distinct except for the rows labelled by these pairs. When $l=3$ we exhibit many additional examples of such pairs of characters.
