Geodesic
Infinite algebras with 3-transitive groups of weak automorphisms
Archivum mathematicum, Tome 37 (2001) no. 4, pp. 245-256.

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The infinite algebras with 3-transitive groups of weak automorphisms are investigated. Among others it is shown that if an infinite algebra with 3-transitive group of weak automorphisms has a nontrivial idempotent polynomial operation then either it is locally functionally complete or it is polynomially equivalent to a vector space over the two element field or it is a simple algebra that is semi-affine with respect to an elementary 2-group. In the second and third cases the group of weak automorphisms cannot be 4-transitive.
Classification : 08A05, 08A35, 08A40
Keywords: locally functionally complete algebra; weak automorphism 
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     author = {Szab\'o, L\'aszl\'o},
     title = {Infinite algebras with 3-transitive groups of weak automorphisms},
     journal = {Archivum mathematicum},
     pages = {245--256},
     publisher = {mathdoc},
     volume = {37},
     number = {4},
     year = {2001},
     mrnumber = {1879447},
     zbl = {1069.08001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2001__37_4_a0/}
}
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Szabó, László. Infinite algebras with 3-transitive groups of weak automorphisms. Archivum mathematicum, Tome 37 (2001) no. 4, pp. 245-256. http://geodesic.mathdoc.fr/item/ARM_2001__37_4_a0/