تقرير
Character codegrees of maximal class p-groups
العنوان: | Character codegrees of maximal class p-groups |
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المؤلفون: | Croome, Sarah, Lewis, Mark L. |
سنة النشر: | 2018 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Group Theory, 20C15, 20D15 |
الوصف: | Let $G$ be a $p$-group and let $\chi$ be an irreducible character of $G$. The codegree of $\chi$ is given by $|G:\text{ker}(\chi)|/\chi(1)$. If $G$ is a maximal class $p$-group that is normally monomial or has at most three character degrees then the codegrees of $G$ are consecutive powers of $p$. If $|G|=p^n$ and $G$ has consecutive $p$-power codegrees up to $p^{n-1}$ then the nilpotence class of $G$ is at most 2 or $G$ has maximal class. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/1809.07699 |
رقم الأكسشن: | edsarx.1809.07699 |
قاعدة البيانات: | arXiv |
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