Matches in SemOpenAlex for { <https://semopenalex.org/work/W2164559720> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W2164559720 endingPage "2175" @default.
- W2164559720 startingPage "2156" @default.
- W2164559720 abstract "Let ℘N:X˜→X be a regular covering projection of connected graphs with the group of covering transformations isomorphic to N. If N is an elementary abelian p-group, then the projection ℘N is called p-elementary abelian. The projection ℘N is vertex-transitive (edge-transitive) if some vertex-transitive (edge-transitive) subgroup of Aut X lifts along ℘N, and semisymmetric if it is edge- but not vertex-transitive. The projection ℘N is minimal semisymmetric if ℘N cannot be written as a composition ℘N=℘∘℘M of two (nontrivial) regular covering projections, where ℘M is semisymmetric. Finding elementary abelian covering projections can be grasped combinatorially via a linear representation of automorphisms acting on the first homology group of the graph. The method essentially reduces to finding invariant subspaces of matrix groups over prime fields (see [A. Malnič, D. Marušič, P. Potočnik, Elementary abelian covers of graphs, J. Algebraic Combin. 20 (2004) 71–97]). In this paper, all pairwise nonisomorphic minimal semisymmetric elementary abelian regular covering projections of the Möbius–Kantor graph, the Generalized Petersen graph GP(8,3), are constructed. No such covers exist for p=2. Otherwise, the number of such covering projections is equal to (p-1)/4 and 1+(p-1)/4 in cases p≡5,9,13,17,21(mod24) and p≡1(mod24), respectively, and to (p+1)/4 and 1+(p+1)/4 in cases p≡3,7,11,15,23(mod24) and p≡19(mod24), respectively. For each such covering projection the voltage rules generating the corresponding covers are displayed explicitly." @default.
- W2164559720 created "2016-06-24" @default.
- W2164559720 creator A5013070295 @default.
- W2164559720 creator A5028549991 @default.
- W2164559720 creator A5041815544 @default.
- W2164559720 creator A5059638892 @default.
- W2164559720 date "2007-08-01" @default.
- W2164559720 modified "2023-10-11" @default.
- W2164559720 title "Semisymmetric elementary abelian covers of the Möbius–Kantor graph" @default.
- W2164559720 cites W1976677460 @default.
- W2164559720 cites W1981886763 @default.
- W2164559720 cites W1992025818 @default.
- W2164559720 cites W1994096076 @default.
- W2164559720 cites W1998864653 @default.
- W2164559720 cites W1999667786 @default.
- W2164559720 cites W2003166470 @default.
- W2164559720 cites W2033211381 @default.
- W2164559720 cites W2059230795 @default.
- W2164559720 cites W2066302051 @default.
- W2164559720 cites W2082559489 @default.
- W2164559720 cites W2104557190 @default.
- W2164559720 cites W2125732536 @default.
- W2164559720 cites W2146484561 @default.
- W2164559720 cites W2158834265 @default.
- W2164559720 cites W2160427895 @default.
- W2164559720 cites W4237021406 @default.
- W2164559720 cites W4253479141 @default.
- W2164559720 doi "https://doi.org/10.1016/j.disc.2006.10.008" @default.
- W2164559720 hasPublicationYear "2007" @default.
- W2164559720 type Work @default.
- W2164559720 sameAs 2164559720 @default.
- W2164559720 citedByCount "33" @default.
- W2164559720 countsByYear W21645597202012 @default.
- W2164559720 countsByYear W21645597202013 @default.
- W2164559720 countsByYear W21645597202014 @default.
- W2164559720 countsByYear W21645597202015 @default.
- W2164559720 countsByYear W21645597202018 @default.
- W2164559720 countsByYear W21645597202019 @default.
- W2164559720 countsByYear W21645597202021 @default.
- W2164559720 countsByYear W21645597202022 @default.
- W2164559720 crossrefType "journal-article" @default.
- W2164559720 hasAuthorship W2164559720A5013070295 @default.
- W2164559720 hasAuthorship W2164559720A5028549991 @default.
- W2164559720 hasAuthorship W2164559720A5041815544 @default.
- W2164559720 hasAuthorship W2164559720A5059638892 @default.
- W2164559720 hasBestOaLocation W21645597202 @default.
- W2164559720 hasConcept C114614502 @default.
- W2164559720 hasConcept C118615104 @default.
- W2164559720 hasConcept C132525143 @default.
- W2164559720 hasConcept C136170076 @default.
- W2164559720 hasConcept C33923547 @default.
- W2164559720 hasConcept C80899671 @default.
- W2164559720 hasConceptScore W2164559720C114614502 @default.
- W2164559720 hasConceptScore W2164559720C118615104 @default.
- W2164559720 hasConceptScore W2164559720C132525143 @default.
- W2164559720 hasConceptScore W2164559720C136170076 @default.
- W2164559720 hasConceptScore W2164559720C33923547 @default.
- W2164559720 hasConceptScore W2164559720C80899671 @default.
- W2164559720 hasIssue "17-18" @default.
- W2164559720 hasLocation W21645597201 @default.
- W2164559720 hasLocation W21645597202 @default.
- W2164559720 hasOpenAccess W2164559720 @default.
- W2164559720 hasPrimaryLocation W21645597201 @default.
- W2164559720 hasRelatedWork W1719252778 @default.
- W2164559720 hasRelatedWork W1963961477 @default.
- W2164559720 hasRelatedWork W1971892699 @default.
- W2164559720 hasRelatedWork W2008276241 @default.
- W2164559720 hasRelatedWork W2034217845 @default.
- W2164559720 hasRelatedWork W2374778222 @default.
- W2164559720 hasRelatedWork W2555545330 @default.
- W2164559720 hasRelatedWork W2781442522 @default.
- W2164559720 hasRelatedWork W4307385446 @default.
- W2164559720 hasRelatedWork W922283457 @default.
- W2164559720 hasVolume "307" @default.
- W2164559720 isParatext "false" @default.
- W2164559720 isRetracted "false" @default.
- W2164559720 magId "2164559720" @default.
- W2164559720 workType "article" @default.