ALMOST IDENTITIES IN GROUPS

Authors

  • Grigor G. Gevorkyan Chair of Algebra and Geometry, YSU, Armenia
  • Vachagan G. Dilanyan Chair of Algebra and Geometry, YSU, Armenia https://orcid.org/0009-0002-5933-8463

DOI:

https://doi.org/10.46991/PYSU:A.2024.58.1.008

Keywords:

n-periodic product, identity, probability, Cayley graph

Abstract

In this work we construct a group G, which generates the variety of all groups. At the same time, in each ball of the Cayley graph of this group G,  the ratio of the number of elements that satisfy a fixed equation of the form $x^n=1$ to the number of all elements of this ball tends to one when the radius of the ball tends to $\infty$ .

References

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Published

2024-04-24

How to Cite

Gevorkyan, G. G., & Dilanyan, V. G. (2024). ALMOST IDENTITIES IN GROUPS. Proceedings of the YSU A: Physical and Mathematical Sciences, 58(1 (263), 8–12. https://doi.org/10.46991/PYSU:A.2024.58.1.008

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Section

Mathematics