On cyclic semi-regular subgroups of certain 2-transitive permutation groups. (English) Zbl 1228.05304
Summary: We determine the cyclic semi-regular subgroups of the 2-transitive permutation groups PGL\((2, n)\), PSL\((2, n)\), PGU\((3, n)\), PSU\((3, n)\), Sz\((n)\) and Ree\((n)\) with \(n\) a suitable power of a prime number \(p\).
MSC:
| 05E15 | Combinatorial aspects of groups and algebras (MSC2010) |
| 20B20 | Multiply transitive finite groups |
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