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

Year 2018, Volume: 6 Issue: 2, 595 - 602, 24.12.2018

Muhsin İncesu , Osman Gürsoy

Abstract

(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.

Keywords

Benzerlik grubu, G- invariant altküme, G- yörüngeler

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

Abstract

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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