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 31 - 40 / 85123456789 31.A note on finite non-solvable groups with few non-cyclic subgroupsJiangtao Shi, Cui Zhang, 2011, original scientific articleFound in: ključnih besedahSummary of found: ...finite group, non-cyclic subgroup, non-solvable group, ...Keywords: finite group, non-cyclic subgroup, non-solvable groupPublished: 15.10.2013; Views: 1144; Downloads: 18 Full text (0,00 KB) 32.Distance-transitive graphs admit semiregular automorphismsKlavdija Kutnar, Primož Šparl, 2010, original scientific articleAbstract: A distance-transitive graph is a graph in which for every two ordered pairs ofvertices ▫$(u,v)$▫ and ▫$(u',v')$▫ such that the distance between ▫$u$▫ and ▫$v$▫ is equal to the distance between ▫$u'$▫ and ▫$v'$▫ there exists an automorphism of the graph mapping ▫$u$▫ to ▫$u'$▫ and ▫$v$▫ to ▫$v'$▫. A semiregular element of a permutation group is anon-identity element having all cycles of equal length in its cycle decomposition. It is shown that every distance-transitive graph admits a semiregular automorphism.Found in: ključnih besedahSummary of found: ...▫$v'$▫. A semiregular element of a permutation group is anon-identity element having all cycles of...Keywords: distance-transitive graph, vertex-transitive graph, semiregular automorphism, permutation groupPublished: 15.10.2013; Views: 1634; Downloads: 51 Full text (0,00 KB) 33.Arc-transitive cycle decompositions of tetravalent graphsŠtefko Miklavič, Primož Potočnik, Stephen Wilson, 2008, original scientific articleAbstract: A cycle decomposition of a graph ▫$\Gamma$▫ is a set ▫$\mathcal{C}$▫ of cycles of ▫$\Gamma$▫ such that every edge of ▫$\Gamma$▫ belongs to exactly one cycle in ▫$\mathcal{C}$▫. Such a decomposition is called arc-transitive if the group of automorphisms of ▫$\Gamma$▫ that preserve setwise acts transitively on the arcs of ▫$\Gamma$▫. In this paper, we study arc-transitive cycle decompositions of tetravalent graphs. In particular, we are interested in determining and enumerating arc-transitive cycle decompositions admitted by a given arc-transitive tetravalent graph. Among other results we show that a connected tetravalent arc-transitive graph is either 2-arc-transitive, or is isomorphic to the medial graph of a reflexible map, or admits exactly one cycle structure.Found in: ključnih besedahSummary of found: ...a decomposition is called arc-transitive if the group of automorphisms of ▫$\Gamma$▫ that preserve setwise...Keywords: mathematics, graph theory, cycle decomposition, automorphism group, consistent cycle, medial mapsPublished: 15.10.2013; Views: 1360; Downloads: 44 Full text (0,00 KB) 34.Automorphism groups of Cayley digraphs of Zp3Edward Dobson, István Kovács, 2009, original scientific articleFound in: ključnih besedahSummary of found: ...Cayley digraph, automorphism group, ...Keywords: Cayley digraph, automorphism groupPublished: 15.10.2013; Views: 2213; Downloads: 8 Full text (0,00 KB)This document has more files! More... 35.On overgroups of regular abelian p-groupsEdward Dobson, 2009, original scientific articleAbstract: Let ▫$G$▫ be a transitive group of odd prime-power degree whose Sylow ▫$p$▫-subgroup ▫$P$▫ is abelian od rank ▫$t$▫. Weshow that if ▫$p > 2^{t-1}$▫, then ▫$G$▫ has a normal subgroup that is a direct product of ▫$t$▫ permutation groups of smaller degree that are either cyclic or doubly-transitive simple groups. As a consequence, we determine the full automorphism group of a Cayley diagraph of an abelian group with rank two such that the Sylow ▫$p$▫-subgroup of the full automorphism group is abelian.Found in: ključnih besedahSummary of found: ...Let ▫$G$▫ be a transitive group of odd prime-power degree whose Sylow ▫$p$▫-subgroup...Keywords: group theory, graph theory, Cayley graph, abelian group, regular group, p-groupPublished: 15.10.2013; Views: 1536; Downloads: 57 Full text (0,00 KB) 36.Distance-regular Cayley graphs on dihedral groupsPrimož Potočnik, Štefko Miklavič, 2005, original scientific articleAbstract: The main result of this article is a classification of distance-regular Cayley graphs on dihedral groups. There exist four obvious families of such graphs, which are called trivial. These are: complete graphs, complete bipartite graphs, complete bipartite graphs with the edges of a 1-factor removed, and cycles. It is proved that every non-trivial distance-regular Cayley graph on a dihedral group is bipartite, non-antipodal, has diameter 3 and arises either from a cyclic di#erence set, or possibly (if any such exists) from a dihedral difference set satisfying some additional conditions. Finally, all distance-transitive Cayley graphs on dihedral groups are determined. It transpires that a Cayley graph on a dihedral group is distance-transitive if and only if it is trivial, or isomorphic to the incidence or to the non-incidence graph of a projective space ▫$\mathrm{PG}_{d-1} (d,q)$▫, ▫$d \ge 2$▫, or the unique pair of complementary symmetric designs on 11 vertices.Found in: ključnih besedahSummary of found: ...classification of distance-regular Cayley graphs on dihedral groups. There exist four obvious families of such...Keywords: mathematics, grah theory, distance-regular graph, distance-transitive graph, Cayley graph, dihedral group, dihedrant, difference setPublished: 10.07.2015; Views: 841; Downloads: 42 Full text (0,00 KB) 37.Algebraični aspekti teorije grafovAdemir Hujdurović, 2013, doctoral dissertationFound in: ključnih besedahSummary of found: ...action, regular cover of a graph, automorphism group, ...Keywords: circulant, bicirculant, semiregular automorphism, vertex-transitive graph, half-arc-transitive graph, snark, Cayley graph, quasi m-Cayley graph, generalized Cayley graph, I-regular action, regular cover of a graph, automorphism groupPublished: 10.07.2015; Views: 1525; Downloads: 4 Full text (0,00 KB) 38.Nilpotent 3-BCI groupsIstván Kovács, Sergio Hiroki Koike Quintanar, 2014, published scientific conference contribution abstractFound in: ključnih besedahSummary of found: ... group, nilpotent, BCI, ...Keywords: group, nilpotent, BCIPublished: 15.10.2015; Views: 903; Downloads: 10 Full text (0,00 KB) 39.Classification of regular maps of Euler characteristic -3pMarston D. E. Conder, Roman Nedela, Jozef Širan, 2012, original scientific articleFound in: ključnih besedahSummary of found: ...grupa avtomorfizmov, Eulerjeva karakteristika, regular map, automorphism group, Euler characteristics, ...Keywords: regularen zemljevid, grupa avtomorfizmov, Eulerjeva karakteristika, regular map, automorphism group, Euler characteristicsPublished: 15.10.2015; Views: 1115; Downloads: 59 Full text (0,00 KB) 40.Half-arc-transitive group actions with a small number of alternetsKlavdija Kutnar, 2015, published scientific conference contribution abstractFound in: ključnih besedahKeywords: automorphism group, half-arc-tranistive graph, alternetPublished: 15.10.2015; Views: 952; Downloads: 9 Full text (0,00 KB)
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