| Naslov: | Semiregular automorphisms in vertex-transitive graphs with a solvable group of automorphisms |
|---|
| Avtorji: | ID Marušič, Dragan (Avtor) |
|---|
| Datoteke: |  RAZ_Marusic_Dragan_i2017.pdf (235,26 KB)
MD5: 735FBD4E5D327BA888FB5876F88AC383
|
|---|
| Jezik: | Angleški jezik |
|---|
| Vrsta gradiva: | Neznano |
|---|
| Tipologija: | 1.01 - Izvirni znanstveni članek |
|---|
| Organizacija: | ZUP - Založba Univerze na Primorskem
|
|---|
| Opis: | It has been conjectured that automorphism groups of vertex-transitive (di)graphs, and more generally 2-closures of transitive permutation groups, must necessarily possess a fixed-point-free element of prime order, and thus a non-identity element with all orbits of the same length, in other words, a semiregular element. The known affirmative answers for graphs with primitive and quasiprimitive groups of automorphisms suggest that solvable groups need to be considered if one is to hope for a complete solution of this conjecture. It is the purpose of this paper to present an overview of known results and suggest possible further lines of research towards a complete solution of the problem. |
|---|
| Ključne besede: | solvable group, semiregular automorphism, fixed-point-free automorphism, polycirculant conjecture |
|---|
| Leto izida: | 2017 |
|---|
| Št. strani: | str. 461-468 |
|---|
| Številčenje: | Vol. 13, no. 2 |
|---|
| PID: | 20.500.12556/RUP-17629  |
|---|
| UDK: | 519.17:512.54 |
|---|
| ISSN pri članku: | 1855-3966 |
|---|
| COBISS.SI-ID: | 1539752900 |
|---|
| Datum objave v RUP: | 03.01.2022 |
|---|
| Število ogledov: | 1905 |
|---|
| Število prenosov: | 23 |
|---|
| Metapodatki: |    |
|---|
|
:
|
Kopiraj citat |
|---|
| | | | Skupna ocena: | (0 glasov) |
|---|
| Vaša ocena: | Ocenjevanje je dovoljeno samo prijavljenim uporabnikom. |
|---|
| Objavi na: |  |
|---|
Postavite miškin kazalec na naslov za izpis povzetka. Klik na naslov izpiše
podrobnosti ali sproži prenos. |
