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Some new compatible groupsZhaochen Ding,
Gabriel Verret, 2026, izvirni znanstveni članek
Opis: 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 $L_1 \cong G/N_1$ 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.
Ključne besede: compatibility, finite nilpotent groups, p-groups
Objavljeno v RUP: 20.03.2026; Ogledov: 269; Prenosov: 6
Celotno besedilo (1,49 MB)
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