Geodesic
On Permutation Groups with Regular Subgroup
Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 359-361

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W. Burnside [3, p. 343] showed that a cyclic group of order pm (p prime, m > l) cannot occur as a regular subgroup of a simply transitive primitive group. (For definitions and notation see [9].) Groups which are contained regularly in a primitive group G only when G is doubly transitive are therefore called B-groups [9, p. 64]. 
Bercov, R. D. On Permutation Groups with Regular Subgroup. Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 359-361. doi: 10.4153/CMB-1974-065-8
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     title = {On {Permutation} {Groups} with {Regular} {Subgroup}},
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