$\operatorname{SL}_2(q)$的平凡源字符表,第二部分

Pub Date : 2023-06-30 DOI:10.1017/S0013091523000299
Niamh Farrell, Caroline Lassueur
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引用次数: 1

摘要

摘要我们计算了有限群无穷族$\operatorname{SL}_{2}(q)$对于q偶在足够大的奇特征域上的平凡源特征表(也称为平凡源环的种表)。本文是我们的文章$\operatorname{SL}_{2}(q)$的琐碎源字符表的延续,我们特别考虑了q在非定义特征中为奇数的情况。
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Trivial source character tables of $\operatorname{SL}_2(q)$, part II
Abstract We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups $\operatorname{SL}_{2}(q)$ for q even over a large enough field of odd characteristics. This article is a continuation of our article Trivial Source Character Tables of $\operatorname{SL}_{2}(q)$, where we considered, in particular, the case in which q is odd in non-defining characteristic.
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