Geodesic
Invariant transformations of loop transversals. 1a. The case of automorphism
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2014), pp. 113-116 Cet article a éte moissonné depuis la source Math-Net.Ru

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One special class of invariant transformations of loop transversals in groups is investigated. Transformations from this class correspond to arbitrary automorphisms of transversal operations of loop transversals mentioned above. 
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Eugene Kuznetsov; Serghei Botnari. Invariant transformations of loop transversals. 1a. The case of automorphism. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2014), pp. 113-116. http://geodesic.mathdoc.fr/item/BASM_2014_1_a7/

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[6] Kuznetsov E., Botnari S., “Invariant transformations of loop transversals. 1. The case of isomorphism”, Bulletin of the Academy of Sciences of Moldova, Mathematics, 2010, no. 1(62), 65–76 | MR | Zbl