# (ex) Consider the group Ds, and the subgroup H (r120,r240. R) of Ds List the distinct left cosets of H inD3, and list the elements of each of these. How many distinct (not equal) left cosets are there for H?Our Six SymmetriesSymmetry Symbol Diagram of what the synmetry does12024oB A

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Abstract Algebra.

D3 is given in the picture as well as the problem. help_outlineImage Transcriptionclose(ex) Consider the group Ds, and the subgroup H (r120,r240. R) of Ds List the distinct left cosets of H in D3, and list the elements of each of these. How many distinct (not equal) left cosets are there for H? Our Six Symmetries Symmetry Symbol Diagram of what the synmetry does 120 24o B A fullscreen
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Step 1
Step 2

The coset RK can be listed as follows.

Step 3

The coset r120K can be listed a...

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