| Title: | Semiregular automorphisms in vertex-transitive graphs with a solvable group of automorphisms |
|---|
| Authors: | ID Marušič, Dragan (Author) |
|---|
| Files: |  RAZ_Marusic_Dragan_i2017.pdf (235,26 KB)
MD5: 735FBD4E5D327BA888FB5876F88AC383
|
|---|
| Language: | English |
|---|
| Work type: | Unknown |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: | ZUP - University of Primorska Press
|
|---|
| Abstract: | 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. |
|---|
| Keywords: | solvable group, semiregular automorphism, fixed-point-free automorphism, polycirculant conjecture |
|---|
| Year of publishing: | 2017 |
|---|
| Number of pages: | str. 461-468 |
|---|
| Numbering: | Vol. 13, no. 2 |
|---|
| PID: | 20.500.12556/RUP-17629  |
|---|
| UDC: | 519.17:512.54 |
|---|
| ISSN on article: | 1855-3966 |
|---|
| COBISS.SI-ID: | 1539752900 |
|---|
| Publication date in RUP: | 02.01.2022 |
|---|
| Views: | 1145 |
|---|
| Downloads: | 18 |
|---|
| Metadata: |    |
|---|
|
:
|
Copy citation |
|---|
| | | | Average score: | (0 votes) |
|---|
| Your score: | Voting is allowed only for logged in users. |
|---|
| Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
