Iterations of Endomorphisms for 4‐Torsion Subgroups of Elliptic Curve
ABSTRACT In this article, we consider sequences generated by iterated matrix multiplication, and introduce a classification of stable, amicable pair, and sociable matrix sequences. Based on these classifications, we analyze the behavior of subgroup sequences obtained through iterated endomorphism on the 4‐torsion subgroups of elliptic curves. In addition, we present visual interpretations of these iterations, including symmetric patterns such as four‐leaf clovers.
Authors
- Daeyeoul Kim (ORCID: https://orcid.org/0000-0002-2970-1666)
- Chi Young Ahn (ORCID: https://orcid.org/0000-0001-5207-8959)
- Yutong Fan
Institutions
- Jeonju National University of Education (KR)
- Jeonbuk State Institute (KR)
- National Institute for Mathematical Sciences (KR)
- Jeonbuk National University (KR)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2026-06-14
- DOI
- https://doi.org/10.1002/mma.70836
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Research Foundation of Korea