Abstract
We show that any group G is contained in some sharply 2-transitive group G without a non-trivial abelian normal subgroup. This answers a long-standing open question. The involutions in the groups G that we construct have no fixed points.
| Original language | English |
|---|---|
| Pages (from-to) | 2895-2910 |
| Number of pages | 16 |
| Journal | Journal of the European Mathematical Society |
| Volume | 19 |
| Issue number | 10 |
| DOIs | |
| State | Published - 2017 |
Bibliographical note
Publisher Copyright:© European Mathematical Society 2017.
Keywords
- Free product
- HNN extension
- Malnormal
- Sharply 2-transitive
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