Probabilistic Identities in n-Torsion Groups
In this paper, a 3-generated infinite group is constructed in which the probability of satisfying a certain fixed identity tends to 1. At the same time, this identity is not satisfied throughout the entire group. The question of the existence of such a group was recently posed by several authors. Mo...
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| Veröffentlicht in: | Journal of contemporary mathematical analysis 2024-12, Vol.59 (6), p.455-459 |
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| container_title | Journal of contemporary mathematical analysis |
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| creator | Atabekyan, V. S. Bayramyan, A. A. |
| description | In this paper, a 3-generated infinite group is constructed in which the probability of satisfying a certain fixed identity tends to 1. At the same time, this identity is not satisfied throughout the entire group. The question of the existence of such a group was recently posed by several authors. More precisely, the work considers an
-periodic product of a free periodic group of rank 2 and an infinite cyclic group. It is proved that in this product, the probability of satisfying the identity
tends to 1, but it does not hold on the entire product. |
| doi_str_mv | 10.3103/S1068362324700304 |
| format | Article |
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-periodic product of a free periodic group of rank 2 and an infinite cyclic group. It is proved that in this product, the probability of satisfying the identity
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-periodic product of a free periodic group of rank 2 and an infinite cyclic group. It is proved that in this product, the probability of satisfying the identity
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| subjects | Algebra Mathematics Mathematics and Statistics Statistical analysis |
| title | Probabilistic Identities in n-Torsion Groups |
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