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Recognition of the direct products of Suzuki groups by their complex group algebras | ||
| Journal of Mahani Mathematical Research | ||
| دوره 12، شماره 1 - شماره پیاپی 24، فروردین 2023، صفحه 127-135 اصل مقاله (520.83 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2022.19218.1226 | ||
| نویسندگان | ||
| Hamideh Rashidi* 1؛ Laleh Oftadeh2 | ||
| 1Department of Mathematics , Faculty of Science, University of Jiroft, Jiroft, Iran | ||
| 2Department of Mathematics, Firoozabad Branch, Islamic Azad University, Firoozabad, Iran | ||
| چکیده | ||
| Denote by $\widehat{p_n}$, the largest prime among the primitive prime divisors of $ 2^{2n+1}-1 $ and $ 2^{2(4n+2)}-1 $, where $n\in {\Bbb N}$. In this paper, we prove that if $ q=2^{2n+1}\geq8 $ and $\alpha \leq \widehat{p_n}$, then the direct product of $ \alpha $ copies of $ {\rm Sz}(q)$ is uniquely determined by its complex group algebra. | ||
| کلیدواژه‌ها | ||
| character degree؛ order؛ Suzuki groups؛ complex group algebra | ||
| مراجع | ||
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