| Naslov: | Normality of quartic cayley graphs on regular ▫$p$▫-groups : a CFSG-free approach |
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| Avtorji: | ID Kutnar, Klavdija (Avtor)
ID Malnič, Aleksander (Avtor)
ID Marušič, Dragan (Avtor) |
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| Datoteke: |  RAZ_Kutnar_Klavdija_2026.pdf (612,50 KB)
MD5: 175B9CAF0F27A9EDDA1E69FAF2323DBA
 https://combinatorialpress.com/cn-articles/volume-238/normality-of-quartic-cayley-graphs-on-regular-p-groups-a-cfsg-free-approach/
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Članek v reviji |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | UPR - Univerza na Primorskem
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| Opis: | Relying on the Classification of Finite Simple Groups it was shown by Feng and Xu (Discrete Math., 2005) that every quartic Cayley graph of a regular $p$-group, $p \neq 2,5$, is normal. In this paper a CFSG-free proof of a special case of Feng-Xu theorem is given. Along the way it is also proved that for an arbitrary $p$-group $G$ with a minimum set $\{a,b\}$ of two generators, one of which is of order $p$, in the corresponding Cayley graph $\mathrm{Cay}(G,\{a,a^{-1},b,b^{-1}\})$ the induced action of vertex stabilizer on the neighbors' set is contained in the dihedral group $D_8$. |
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| Ključne besede: | classification of finite simple groups, regular p-group, p-groups of exponent p, Cayley graph, normal graph, automorphism group |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 22.09.2026 |
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| Leto izida: | 2026 |
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| Št. strani: | str. 123-134 |
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| Številčenje: | Vol. 238 |
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| PID: | 20.500.12556/RUP-23667  |
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| UDK: | 519.17 |
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| ISSN pri članku: | 0384-9864 |
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| DOI: | 10.61091/cn238-06 |
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| COBISS.SI-ID: | 292240387 |
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| Datum objave v RUP: | 23.09.2026 |
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| Število ogledov: | 245 |
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| Število prenosov: | 5 |
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| Metapodatki: |    |
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