English

The Automorphism Conjecture for Ordered Sets of Width $\leq 11$ (Version 2)

Combinatorics 2023-05-24 v1

Abstract

We introduce a recursive method to deconstruct the automorphism group of an ordered set. By connecting this method with deep results for permutation groups, we prove the Automorphism Conjecture for ordered sets of width less than or equal to 1111. Subsequent investigations show that the method presented here could lead to a resolution of the Automorphism Conjecture.

Keywords

Cite

@article{arxiv.2305.13438,
  title  = {The Automorphism Conjecture for Ordered Sets of Width $\leq 11$ (Version 2)},
  author = {Bernd S. W. Schröder},
  journal= {arXiv preprint arXiv:2305.13438},
  year   = {2023}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2209.09312

R2 v1 2026-06-28T10:42:02.973Z