Preview

Chebyshevskii Sbornik

Advanced search

On the degree conjugacy of words in groups with small reduction

https://doi.org/10.22405/2226-8383-2024-25-5-32-44

Abstract

This paper solves the problem of degree conjugacy of words in a class of sparsely contractible groups.

About the Authors

Vladimir Nikolaevich Bezverkhnii
Russian Customs Academy
Russian Federation

doctor of physical and mathematical sciences



Natalia Borisovna Bezverhnaya
Moscow Technical University of Communication and Informatics
Russian Federation

candidate of physical and mathematical sciences



References

1. Novikov, P.S. 1952, “On the algorithmic undecidability of the identity problem”, Doklady AN

2. SSSR, Vol. 85, pp. 709–719.

3. Novikov, P.S. 1954, “On the algorithmic undecidability of the identity problem in group theory”, Trudy MIAN SSSR, Vol. 44, pp. 3–143.

4. Grinblinger, M.D. 1965, “On the problems of word identity and conjugacy”, Izvestiya AN SSSR, ser. matem., Vol. 29, pp. 245–268.

5. Lindon, R. 1966, “On Dehn’s algorithm”, Math. Ann., Vol. 166, pp. 208–228.

6. Schupp, P. 1968, “On Dehn’s algorithm and the conjugacy problem”, Math. Ann., Vol. 178, pp. 119–130.

7. Lindon, R. and Schupp, P. 1980, “Combinatorial group theory”, Moscow, Mir.

8. Bezverkhnii, V.N. 1994, “On the normalizers of elements in 𝐶(𝑝)&𝑇(𝑞)-groups”, Algorithmic

9. problems in group theory and semigroups: International collection of scientific papers, Tula, pp.

10. –58.

11. Bezverkhnii, V.N. 1998, “Solution of the generalized conjugacy problem for words in 𝐶(𝑝)&𝑇(𝑞)-groups”, Izvestiya Tula State University, Series "Mathematics", Vol. 4, Tula, Tula State University, pp. 5–15.

12. Bezverkhnii, V.N., Bezverkhnyaya, N.B. 2023, “Solution of the power conjugacy problem for

13. words and the degree problem in groups with small cancellation”, Algebra, number theory,

14. discrete geometry and multiscale modeling: modern problems, applications and historical issues. Proceedings of the XXII International Conference, Tula, May 26-29, pp. 29–34.


Review

For citations:


Bezverkhnii V.N., Bezverhnaya N.B. On the degree conjugacy of words in groups with small reduction. Chebyshevskii Sbornik. 2024;25(5):32-44. (In Russ.) https://doi.org/10.22405/2226-8383-2024-25-5-32-44

Views: 378


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2226-8383 (Print)