Zhaochen Ding

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math.GR2025

Some new compatible groups

Zhaochen Ding, Gabriel Verret

Two finite 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 $L_{1} ≅ G / N_{1}$ and $L_{2} ≅ G / N_{2}$ …

math.GR2025

Some necessary conditions for compatibility of groups

Zhaochen Ding, Gabriel Verret

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 $L_{1} ≅ G / N_{1}$ and $L_{2} ≅ G / N_{2}$ . In th…