On infinite, sharply 2-transitive groups
Event details
| Date | 24.09.2013 |
| Hour | 10:15 |
| Speaker | Yoav Segev [Ben Gurion] |
| Location |
Ma A1 12
|
| Category | Conferences - Seminars |
Let G be a sharply 2-transitive permutation group on a set X. Then, it is easy to see that G contains ``many'' involutions (i.e. elements of order 2). Let Inv(G) be the set of all involutions in G. In all known examples of G as above the SET Inv(G)2 of all products of two involutions in G forms an abelian normal regular (i.e. sharply 1-transitive) subgroup of G. However the efforts to prove, or disprove that this is true for every G as above have failed consistently, for a long time now, in spite of attempts made by some well known mathematicians. I will discuss this conjecture and present some known facts and some partial new results.
Practical information
- Expert
- Free
Organizer
- Jacques Thévenaz
Contact
- Jacques Thévenaz