31 окт. 2020 г. · I think that commonly the Cayley graph describes the action of a group G on itself by multiplication (from the left for me, but others may use ... Automorphism group of a Cayley graph Cayley Graph of a Group Action - Mathematics Stack Exchange Другие результаты с сайта math.stackexchange.com

5 мар. 2022 г. · Just as we made Cayley graphs of groups, we can also make Cayley graphs of group actions. · For the example of Sn acting on a coin, the Cayley ...

The left multiplication action of a group on itself is simply transitive, in ... A group is Cayley integral iff every connected Cayley graph of the group is also ... Examples · Characterization · Connection to group theory

2 авг. 2006 г. · Cayley graphs are generalised by coset graphs. For these we take a subgroup. H of G as part of the data. Now the vertices of the graph may be ...

10 июл. 2010 г. · One way to visualise the geometry of a generated group is to look at the (labeled) Cayley colour graph of the generated group {(G,S)} .

7 мая 2019 г. · There are different ways to define Cayley graphs. Connected Cayley graphs: these require that C be a generating set for G.

Group Action on Neighborhood Complexes of Cayley Graphs. Given G a group generated by S. {g1, .., gn}, one can construct the Cayley Graph. Cayley(G, S). Given ...

11 мая 2012 г. · The full Cayley graph Cay(G,G) is the graph underlying the action groupoid for the action of G on itself. This groupoid is equivalent to the ...

Since any group acts geometrically on its own Cayley graph, any space on which G acts geometrically is quasi-isometric to the Cayley graph of G. Examples.

To obtain a typical regular permutation group. Take any: group G, set Ω := G. Define action: ρg : x → xg for g ∈ G, x ∈ Ω (ρg is bijection). Form permutation ...