1. 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: 192; Prenosov: 6
 Celotno besedilo (1,49 MB)
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2. A census of 4-valent half-arc-transitive graphs and arc-transitive digraphs of valence two : dedicated to Dragan Marušič on the occasion of his 60th birthdayPrimož Potočnik, Pablo Spiga, Gabriel Verret, 2015, izvirni znanstveni članek Opis: A complete list of all connected arc-transitive asymmetric digraphs of in-valence and out-valence 2 on up to 1000 vertices is presented. As a byproduct, a complete list of all connected 4-valent graphs admitting a half-arc-transitive group of automorphisms on up to 1000 vertices is obtained. Several graph-theoretical properties of the elements of our census are calculated and discussed.
Ključne besede: graphs, digraphs, edge-transitive, vertex-transitive, arc-transitive, half arc-transitive
Objavljeno v RUP: 31.12.2021; Ogledov: 2565; Prenosov: 20
Celotno besedilo (370,47 KB) |
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9. Bounding the order of the vertex-stabiliser in 3-valent vertex-transitive and 4-valent arc-transitive graphsPrimož Potočnik, Pablo Spiga, Gabriel Verret, 2015, izvirni znanstveni članek Ključne besede: valenca 3, valenca 4, točkovna tranzitivnost, ločna tranzitivnost, lokalno-diedrski, valency 3, valency 4, vertex-transitive, arc-transitive, locally-dihedral
Objavljeno v RUP: 15.10.2015; Ogledov: 4856; Prenosov: 213
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