Normal structure spaces of groups
Group Theory
2024-08-21 v2 Rings and Algebras
Abstract
Can we do a topological study of various classes of normal subgroups endowed with a hull-kernel-type topology? In this paper, we have provided an answer to this question. We have introduced as well a new class of normal subgroups called primitive subgroups. Separation axioms, compactness, connectedness, and continuities of these spaces have been studied. We have concluded with the question of determining spectral spaces among them.
Cite
@article{arxiv.2212.12927,
title = {Normal structure spaces of groups},
author = {Amartya Goswami},
journal= {arXiv preprint arXiv:2212.12927},
year = {2024}
}