PreprintCC BY-NC 4.0HAL
Bisoluble and Binilpotent Skew Braces of Finite Morley Rank
Abstract
A connected skew brace of finite Morley rank is left nilpotent (resp. weakly soluble) whenever the additive and multiplicative groups are nilpotent (resp. are soluble and the left chief length is at most 3).
Related
- Determinant characters and multiplicative solubility of finite skew braces
- Classification of finite left-simple skew braces
- On π-nilpotencies of finite skew braces
- The Left-Nilpotent Residual and Its Supplements in Finite Skew Braces
- Relative commuting probability and BFC-type results for finite skew braces
BibTeX
@misc{ferrara2026bisoluble,
title = {{Bisoluble and Binilpotent Skew Braces of Finite Morley Rank}},
author = {Maria Ferrara and Moreno Invitti and Marco Trombetti and Frank Olaf Wagner},
howpublished = {HAL},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.27999},
eprint = {2609.27999},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05760334v1},
note = {CC BY-NC 4.0},
}
RIS
TY - UNPB
TI - Bisoluble and Binilpotent Skew Braces of Finite Morley Rank
AU - Maria Ferrara
AU - Moreno Invitti
AU - Marco Trombetti
AU - Frank Olaf Wagner
PY - 2026
DA - 2026/09/23
PB - HAL
DO - 10.48550/arxiv.2609.27999
UR - https://hal.science/hal-05760334v1
AB - A connected skew brace of finite Morley rank is left nilpotent (resp. weakly soluble) whenever the additive and multiplicative groups are nilpotent (resp. are soluble and the left chief length is at most 3).
ER -