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Semiflows deforming automorphisms groups
Abstract
In this short note, we prove that, for any pair of finite groups G and H, there exist a finite T0-space X and a semiflow φ: [0,∞)× X→ X such that Aut(X)≅ G, whereas Aut(φt(X))≅ H for every t>0. Thus, the symmetry group of a finite T0-space and those of all its positive-time images can be prescribed independently.
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BibTeX
@misc{chocano2026semiflows,
title = {{Semiflows deforming automorphisms groups}},
author = {Pedro J. Chocano},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.07552},
eprint = {2609.07552},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.07552},
}
RIS
TY - UNPB
TI - Semiflows deforming automorphisms groups
AU - Pedro J. Chocano
PY - 2026
DA - 2026/09/07
PB - arXiv
DO - 10.48550/arxiv.2609.07552
UR - https://arxiv.org/abs/2609.07552
AB - In this short note, we prove that, for any pair of finite groups G and H, there exist a finite T_0-space X and a semiflow φ: [0,∞)× X→ X such that Aut(X)≅ G, whereas Aut(φ_t(X))≅ H for every t>0. Thus, the symmetry group of a finite T_0-space and those of all its positive-time images can be prescribed independently.
ER -