Some new compatible groupsDing, Zhaochen (Avtor) Verret, Gabriel (Avtor) compatibilityfinite nilpotent groupsp-groupsTwo 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 $L_1 \cong G/N_1$ and $L_2 \cong G/N_2$. We prove a new sufficient condition for two groups to be compatible. As a corollary, we obtain that nilpotent groups of the same order are compatible, and so are groups of the same square-free order.20262026-03-20 14:07:23Članek v reviji22825UDK: 512.542ISSN pri članku: 0021-8693DOI: 10.1016/j.jalgebra.2026.02.016COBISS.SI-ID: 272478467sl