Quantitative inverse Galois problem for semicommutative finite group schemes
Number Theory
2022-11-07 v2 Algebraic Geometry
Abstract
A semicommutative finite group scheme is a finite group scheme which can be obtained from commutative finite group schemes by iterated performing semidirect products with commutative kernels and taking quotients by normal subgroups. In this article, for an \'etale tame semicommutative finite group scheme , we give a lower bound on the number of connected -torsors of bounded height (such as discriminant).
Keywords
Cite
@article{arxiv.2210.01495,
title = {Quantitative inverse Galois problem for semicommutative finite group schemes},
author = {Ratko Darda and Takehiko Yasuda},
journal= {arXiv preprint arXiv:2210.01495},
year = {2022}
}
Comments
Small changes, an appendix added. arXiv admin note: substantial text overlap with arXiv:2207.03642