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<p>We announce a positive solution to the partial automorphism extension problem for finite tournaments in the case of a unique partial automorphism, along with an estimate for the order of the resulting extension. We also announce the result that every finite tournament can be embedded into a finite vertex-transitive tournament, with the order of this vertex -transitive tournament specified. Complete proofs will be published in Algebra Logic <b>64</b>, No. 3 (2025).</p>

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Extension of Partial Automorphisms in Finite Tournament: Announcement

  • 期刊论文

  • 发表日期：

    2025年5月1日

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  • K. Zh. Kudaibergenov

摘要

We announce a positive solution to the partial automorphism extension problem for finite tournaments in the case of a unique partial automorphism, along with an estimate for the order of the resulting extension. We also announce the result that every finite tournament can be embedded into a finite vertex-transitive tournament, with the order of this vertex -transitive tournament specified. Complete proofs will be published in Algebra Logic 64, No. 3 (2025).