PreprintarXiv licencearXiv
A Dubnov-Ivanov-Nagata-Higman Theorem for NIP nilrings
Abstract
We prove that NIP nilrings of bounded nilexponent are nilpotent. We also deduce that NIP ω-categorical n-Engel Lie algebras of characteristic p>n are nilpotent, yielding a case of the Lie algebra analogous of Wilson conjecture for ω-categorical groups.
Related
- Ivanov's finite-index Frattini conjecture for subgroups of mapping class groups
- Hyperbolic groups satisfy the Boone–Higman conjecture
- The Higman-Sims graph and a geometric construction of the Steiner system $S(3,6,22)$
- Gluing diagrams part 1: A constructive solution for the Higman-Thompson group isomorphism problem
- Interactions between rarefaction waves and dispersive shock waves in the Gerdjikov--Ivanov equation with non-convex hydrodynamics
BibTeX
@misc{delbee2026dubnovivanovnagatahigman,
title = {{A Dubnov-Ivanov-Nagata-Higman Theorem for NIP nilrings}},
author = {Christian d'Elbée and Yanis Davoust and Jules Tindzogho Ntsiri},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.03845},
eprint = {2610.03845},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.03845},
}
RIS
TY - UNPB
TI - A Dubnov-Ivanov-Nagata-Higman Theorem for NIP nilrings
AU - Christian d'Elbée
AU - Yanis Davoust
AU - Jules Tindzogho Ntsiri
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2610.03845
UR - https://arxiv.org/abs/2610.03845
AB - We prove that NIP nilrings of bounded nilexponent are nilpotent. We also deduce that NIP ω-categorical n-Engel Lie algebras of characteristic p>n are nilpotent, yielding a case of the Lie algebra analogous of Wilson conjecture for ω-categorical groups.
ER -