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On non-isomorphic universal sofic groups

Group Theory 2024-07-08 v2 Logic
Authors: Vadim Alekseev , Andreas Thom
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Abstract

We show that there are 2ℵ02^{\aleph_0} non-isomorphic universal sofic groups. This proves a conjecture of Simon Thomas.

Cite

@article{arxiv.2406.06741,
  title  = {On non-isomorphic universal sofic groups},
  author = {Vadim Alekseev and Andreas Thom},
  journal= {arXiv preprint arXiv:2406.06741},
  year   = {2024}
}

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14 pages

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