Geodesic
A~loop transversal in a~sharply 2-transitive permutation loop
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2005), pp. 101-114

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The well-known theorem of M. Hall about the description of a finite sharply 2-transitive permutation group is generalized for the case of permutation loops. It is shown that the identity permutation with the set of all fixed-point-free permutations in a finite sharply 2-transitive permutation loop forms a loop transversal by its proper subloop – a stabilizator of one symbol. 
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     author = {Eugene Kuznetsov},
     title = {A~loop transversal in a~sharply 2-transitive permutation loop},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {101--114},
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     number = {3},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2005_3_a8/}
}
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Eugene Kuznetsov. A~loop transversal in a~sharply 2-transitive permutation loop. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2005), pp. 101-114. http://geodesic.mathdoc.fr/item/BASM_2005_3_a8/