Some necessary conditions for compatibility of groups

Zhaochen Ding; Gabriel Verret

Some necessary conditions for compatibility of groups

Group Theory 2025-01-16 v1

Authors: Zhaochen Ding , Gabriel Verret

Abstract

Two groups $L_1$ and $L_2$ are compatible if there exists a finite group $G$ with isomorphic normal subgroups $N_1$ and $N_2$ such that $L_1\cong G/N_1$ and $L_2\cong G/N_2$ . In this paper, we give new necessary conditions for two groups to be compatible.

Keywords

finite group theory

Cite

@article{arxiv.2501.08529,
  title  = {Some necessary conditions for compatibility of groups},
  author = {Zhaochen Ding and Gabriel Verret},
  journal= {arXiv preprint arXiv:2501.08529},
  year   = {2025}
}

Comments

9 pages

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