Work

The group class SJ is not countably recognizable

Year: 2026

Type: preprint

Abstract: A group is an {\it $\SJ$-group} if it admits a general abelian series all of whose terms are subnormal of finite defect in the whole group. We construct a group $G$ which is not an~\hbox{$\SJ$-group}, although every countable subgroup of $G$ is an $\SJ$-group.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.05415

Authors: Brescia, M., Di Siena, B. G., Ingrosso, E., Trombetti, M.

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni

OpenAlex ID: W7220708379

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