ABSTRACT
In mathematics, a symmetry groups describes
all symmeiries of objects. This is formalized by the notion of a group action.
A group G is said to act on a set x when there is a map 0 : C x X — X such that
the foilowing conditiot bold for all elements x €X 0 (e, x) = X (where e is the
identity elements of G) and øfg. 0(h,x) = 0(xh,x ) for all g, hCG. In this
case, G is called a transformation group, x is called a O - set and 0 is called
the group action. This group action can be applied in many branches of
mathematics including algebra, topology, analysis as well as other braches of
mathematics.
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ANYANWU, . (2021). Group Action And Its Applications. Repository.mouau.edu.ng: Retrieved Nov 22, 2024, from https://repository.mouau.edu.ng/work/view/group-action-and-its-applications-7-2
.I, ANYANWU. "Group Action And Its Applications" Repository.mouau.edu.ng. Repository.mouau.edu.ng, 14 Jul. 2021, https://repository.mouau.edu.ng/work/view/group-action-and-its-applications-7-2. Accessed 22 Nov. 2024.
.I, ANYANWU. "Group Action And Its Applications". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 14 Jul. 2021. Web. 22 Nov. 2024. < https://repository.mouau.edu.ng/work/view/group-action-and-its-applications-7-2 >.
.I, ANYANWU. "Group Action And Its Applications" Repository.mouau.edu.ng (2021). Accessed 22 Nov. 2024. https://repository.mouau.edu.ng/work/view/group-action-and-its-applications-7-2