G=S(1), G=S(2) ve alt Grubları için G- Yörüngeler

(G, * ) bir grup, X bir küme olmak üzere G:X etkisi verilsin. Bir x Î C noktası için Gx = {gx: gÎG} kümesine x elemanının G- yörüngesi denir. (G, * ) bir grup olmak üzere bir x Î C elemanının kendisini içeren en küçük G-invaryant altküme x’in G-yörüngesidir. Bu çalışmada Benzerlik grubu G = S(n) ve tüm alt grupları için n=1 ve n=2 durumlarında G- invaryant alt uzaylar olan G- yörüngeler elde edilmiştir.

Anahtar Kelimeler:

Benzerlik grubu, G- invariant altküme, G- yörüngeler

The G- orbits for G=S(1), G=S(2) and their Subgroups

Let (G, * ) is a group and X is a nonempty set and let group action are given. For any point the set is called G- orbits of the element x. Let (G, * ) is a group then, the smallest G- invariant subset containing is G- orbit of x. In this paper G-orbits of the similarity group S(n) and all subgroups of it in case n=1 and n=2, which are G- invariant subspaces therewithal, are obtained.

Keywords:

G- invariant subsets, G- orbits,

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