تقرير
Non-split sharply 2-transitive groups of odd positive characteristic
| العنوان: | Non-split sharply 2-transitive groups of odd positive characteristic |
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| المؤلفون: | Amelio, Marco, André, Simon, Tent, Katrin |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory |
| الوصف: | It is well-known that every sharply 2-transitive group of characteristic 3 splits. Here we construct the first examples of non-split sharply 2-transitive groups in odd positive characteristic $p$, for sufficiently large primes $p$. Furthermore, we show that any group without 2-torsion can be embedded into a non-split sharply 2-transitive group of characteristic $p$ for all sufficiently large primes $p$, yielding $2^{\aleph_0}$ many pairwise non-isomorphic countable non-split sharply 2-transitive groups in any sufficiently large characteristic. Comment: arXiv admin note: text overlap with arXiv:1311.0855 by other authors |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.16992 |
| رقم الأكسشن: | edsarx.2312.16992 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |