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arXiv · 2501.08529

Some necessary conditions for compatibility of groups

Zhaochen Ding·Gabriel Verret
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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.

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Zhaochen Ding, Gabriel Verret. 2025-01-15. Some necessary conditions for compatibility of groups. https://arxiv.org/abs/2501.08529

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