For a tetrahedron -describe the type of groups of a rectangle -describe the orders of the...

For a tetrahedron

-describe the type of groups of a rectangle

-describe the orders of the groups

-describe the structure of the groups

-describe the elements of the groups (make sure to name all the elements and describe them as a group of permutations on the vertices)

- describe each group as subgroups of permutation groups

-describe all possible orders, types and generators for each subgroup of the group

-are any of these groups cyclic and or abelian?

-are any of these subgroups cyclic and or abelian?

-are there subgroups of every possible order?

-which subgroups are isomorphic and how do you know?

Expert Solution

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Colby Messinger answered 9 months ago

For a rectangle -describe the type of groups of a rectangle -describe the orders of the...

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