find all left coset taking the subgroup generated by>)
the group is
we have the subgroup,(1,2)} )
I take all elements not in h and add them to h to get the left coset but I have repeated elements so how I can chose elements such that I do not have repeated ones
the book said
 = h )
 )
)
 )
how the book take these elements can you help
is there a way to chose these elements
Do you know Lagrange's theorem? SinceOriginally Posted by Amer
find all left coset taking the subgroup generated by
the group is
we have the subgroup
I take all elements not in h and add them to h to get the left coset but I have repeated elements so how I can chose elements such that I do not have repeated ones
the book said
how the book take these elements can you help
is there a way to chose these elementsand
we mus only find
subgroups. And, since the subgroup itself is always a coset we must only find three more subgroup. So how about the four cosets
?
There is no diehard way, that I know to pick the elements. In this case, and some others, you can eye-ball the subgroup to see what will give you distinct cosets.
I know it, and I know I have 4 subgroups in the left cosetDo you know Lagrange's theorem? Sincewe mus only find
There is no diehard way, that I know to pick the elements. In this case, and some others, you can eye-ball the subgroup to see what will give you distinct cosets.
it is clear now thank you very much
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