On the property of antinormality of two-born subgroups of a free group
https://doi.org/10.22405/2226-8383-2024-25-5-45-56
Abstract
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.
About the Author
Natalia Borisovna Bezverhnaya
Moscow Technical University of Communication and Informatics
Russian Federation
Russian Federation
candidate of physical and mathematical sciences
References
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Review
For citations:
Bezverhnaya N.B. On the property of antinormality of two-born subgroups of a free group. Chebyshevskii Sbornik. 2024;25(5):45-56. (In Russ.) https://doi.org/10.22405/2226-8383-2024-25-5-45-56
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