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Spectral spaces of normal subgroups

Amartya Goswami

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.

Spectral spaces of normal subgroups

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.
Paper Structure (2 sections, 2 theorems, 3 equations)

This paper contains 2 sections, 2 theorems, 3 equations.

Table of Contents

  1. Introduction and Preliminaries
  2. The space $\mathcal{N}^+(G)$

Key Result

Theorem 1.1

Let $G$ be a group having a maximal normal subgroup. Then the set $\mathcal{N}^+(G)$ of proper normal subgroups of $G$ endowed with coarse lower topology is a spectral space.

Theorems & Definitions (5)

  • Theorem 1.1
  • Lemma 2.1
  • proof
  • proof
  • Remark 2.2