تقرير
Primes in geometric series and finite permutation groups
العنوان: | Primes in geometric series and finite permutation groups |
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المؤلفون: | Jones, Gareth A., Zvonkin, Alexander K. |
سنة النشر: | 2020 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Number Theory, Mathematics - Group Theory, 11A41, 11N05, 11N32, 20B05, 20B25 |
الوصف: | As a consequence of the classification of finite simple groups, the classification of permutation groups of prime degree is complete, apart from the question of when the natural degree $(q^n-1)/(q-1)$ of ${\rm L}_n(q)$ is prime. We present heuristic arguments and computational evidence to support a conjecture that for each prime $n\ge 3$ there are infinitely many primes of this form, even if one restricts to prime values of $q$. Comment: 25 pages, 6 figures. Version 2 contains extra material concerning primality testing, with relevant citations in the extended bibliography |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2010.08023 |
رقم الأكسشن: | edsarx.2010.08023 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |