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11.
Multiply transitive permutation groups via the small Mathieu groups
Anna Klymenko, 2012, master's thesis

Found in: ključnih besedah
Keywords: permutation group, group action, orbit, stabilizer, multiply transitive group, affine group, Mathieu group
Published: 13.11.2017; Views: 419; Downloads: 8
URL Full text (0,00 KB)

12.
Odd automorphisms in vertex-transitive graphs
Ademir Hujdurović, Klavdija Kutnar, Dragan Marušič, 2016, original scientific article

Abstract: Avtomorfizem grafa se imenuje sod/lih, če deluje na množici vozlišč kot soda/liha permutacija. V tem članku zastavimo problem določitve tistih točkovno-tranzitivnih grafov, ki premorejo lihe avtomorfizme. Predstavimo delne rezultate za določene razrede točkovno-tranzitivnih grafov, med drugim za Cayleyjeve grafe. Kot posledico teh rezultatov dobimo karakterizacijo ločno-tranzitivnih cirkulantov brez lihih avtomorfizmov.
Found in: ključnih besedah
Summary of found: ...graph, vertex-transitive, automorphism group, even permutation, odd permutation, ...
Keywords: graph, vertex-transitive, automorphism group, even permutation, odd permutation
Published: 15.11.2017; Views: 643; Downloads: 51
URL Full text (0,00 KB)

13.
Imprimitive permutations in primitive groups
P. Lopes, A. Hulpke, Edward Dobson, Peter J. Cameron, J. P. Araújo, Joao Araújo, 2017, original scientific article

Found in: ključnih besedah
Summary of found: ...primitive groups, imprimitive groups, GAP, permutation type...
Keywords: primitive groups, imprimitive groups, GAP, permutation type
Published: 21.02.2018; Views: 1146; Downloads: 181
URL Full text (0,00 KB)
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14.
Odd extensions of transitive groups via symmetric graphs - The cubic case
Klavdija Kutnar, Dragan Marušič, 2018, original scientific article

Abstract: When dealing with symmetry properties of mathematical objects, one of the fundamental questions is to determine their full automorphism group. In this paper this question is considered in the context of even/odd permutations dichotomy. More precisely: when is it that the existence of automorphisms acting as even permutations on the vertex set of a graph, called even automorphisms, forces the existence of automorphisms that act as odd permutations, called odd automorphisms. As a first step towards resolving the above question, complete information on the existence of odd automorphisms in cubic symmetric graphs is given.
Found in: ključnih besedah
Summary of found: ...automorphism group, arc-transitive, even permutation, odd permutation, cubic symmetric graph...
Keywords: automorphism group, arc-transitive, even permutation, odd permutation, cubic symmetric graph
Published: 19.11.2018; Views: 369; Downloads: 89
URL Full text (0,00 KB)

15.
On derivatives of planar mappings and their connections to complete mappings
Amela Muratović-Ribić, Enes Pašalić, 2018, original scientific article

Abstract: Given are necessary conditions for a permutation polynomial to be the derivative of a planar mapping. These conditions are not sufficient and there might exist permutation polynomials which are not derivatives of some planar mapping satisfying these conditions. For the first time we show that there is a close connection between two seemingly unrelated structures, namely planar and complete mappings. It is shown that any planar mapping induces a sequence of complete mappings having some additional interesting properties. Furthermore, a class of almost planar mappings over extension fields is introduced having the property that its derivatives are permutations in most of the cases. This class of functions then induces many infinite classes of complete mappings (permutations) as well.
Found in: ključnih besedah
Summary of found: ...Given are necessary conditions for a permutation polynomial to be the derivative of a...
Keywords: planar mapping, derivatives, complete mappings, permutation polynomials
Published: 19.12.2018; Views: 522; Downloads: 102
URL Full text (0,00 KB)

16.
r-regular families of graph automorphisms
Robert Jajcay, Gareth A. Jones, 2019, original scientific article

Found in: ključnih besedah
Summary of found: ...graph automorphism, permutation, vertex-transitive...
Keywords: graph automorphism, permutation, vertex-transitive
Published: 30.07.2019; Views: 154; Downloads: 93
URL Full text (0,00 KB)

17.
The distinguishing number of quasiprimitive and semiprimitive groups
Alice Devillers, Luke Morgan, Scott Harper, 2019, original scientific article

Found in: ključnih besedah
Summary of found: ... permutation groups, quasiprimitive groups, generationsemiprimitive groups...
Keywords: permutation groups, quasiprimitive groups, generationsemiprimitive groups
Published: 01.08.2019; Views: 148; Downloads: 98
URL Full text (0,00 KB)

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