3. Let a, b, c be three distinct positive real numbers, and let {(x, y, z) = R³ ||x| ≤ a, │y| ≤ b, |z| ≤ c}. Show that the group of motions of B is isomorphic to the Klein 4-group. B =

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3. Let a, b, c be three distinct positive real numbers, and let
{(x, y, z) ≤ R³ ||x| ≤ a, |y| ≤ b, |z| ≤ c}.
Show that the group of motions of B is isomorphic to the Klein 4-group.
B
=
Transcribed Image Text:3. Let a, b, c be three distinct positive real numbers, and let {(x, y, z) ≤ R³ ||x| ≤ a, |y| ≤ b, |z| ≤ c}. Show that the group of motions of B is isomorphic to the Klein 4-group. B =
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