Spectral spaces of normal subgroups
Amartya Goswami
TL;DR
This paper proves that the set of proper normal subgroups of a group, equipped with a specific topology, forms a spectral space, linking algebraic subgroup properties with topological space concepts.
Contribution
It establishes that the space of proper normal subgroups with the coarse lower topology is spectral, providing a new topological perspective on subgroup structures.
Findings
The set of proper normal subgroups forms a spectral space.
The topology used is the coarse lower topology.
This links subgroup theory with spectral space topology.
Abstract
The aim of this note is to prove that the set of proper normal subgroups of a group endowed with coarse lower topology is a spectral space.
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Taxonomy
TopicsFinite Group Theory Research · Advanced Algebra and Geometry · Advanced Topics in Algebra