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PreprintCC BY 4.0arXiv

Infinite Subtraction Games with Periodic Outcomes and Aperiodic SG Values

Abstract

We find some significant special cases of subtraction games with infinite subtraction sets, whose outcome sequences are periodic, but whose SG value sequences are bounded and aperiodic.

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BibTeX
@misc{liang2026infinite,
  title = {{Infinite Subtraction Games with Periodic Outcomes and Aperiodic SG Values}},
  author = {Kai Liang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.17654},
  eprint = {2608.17654},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.17654},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Infinite Subtraction Games with Periodic Outcomes and Aperiodic SG Values
AU  - Kai Liang
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2608.17654
UR  - https://arxiv.org/abs/2608.17654
AB  - We find some significant special cases of subtraction games with infinite subtraction sets, whose outcome sequences are periodic, but whose SG value sequences are bounded and aperiodic.
ER  -