Non-split sharply 2-transitive groups of odd positive characteristic
| Autor: | Amelio, Marco, André, Simon, Tent, Katrin |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 |
| Databáze: | arXiv |
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