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Some necessary conditions for compatibility of groups

Published 15 Jan 2025 in math.GR | (2501.08529v1)

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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Authors (2)

  1. Zhaochen Ding 
  2. Gabriel Verret 

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