تقرير
Primes in geometric series and finite permutation groups
| العنوان: | Primes in geometric series and finite permutation groups |
|---|---|
| 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. |