Geodesic
On the property of antinormality of two-born subgroups of a free group
Čebyševskij sbornik, Tome 25 (2024) no. 5, pp. 45-56 Cet article a éte moissonné depuis la source Math-Net.Ru

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The question of studying the property of antinormality of subgroups is important, since this property is used in the study of various properties of groups (for example, hyperbolicity of groups) and various algorithmic problems in groups. The proposed article gives a complete description of all antinormal two-generated subgroups with a certain condition imposed on the generators of this subgroup contained in a free group of rank greater than one.
Keywords: free groups, antinormality of subgroups, algorithmic problems. 
@article{CHEB_2024_25_5_a3,
     author = {N. B. Bezverhnaya},
     title = {On the property of antinormality of two-born subgroups of a free group},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {45--56},
     year = {2024},
     volume = {25},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2024_25_5_a3/}
}
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N. B. Bezverhnaya. On the property of antinormality of two-born subgroups of a free group. Čebyševskij sbornik, Tome 25 (2024) no. 5, pp. 45-56. http://geodesic.mathdoc.fr/item/CHEB_2024_25_5_a3/