Give the tables for both the octic group (a, b a 4 1, b 2 1, ba a 3 b) and the quaternion group (a, b a 4 1, b 2 a 2 , ba a 3 b) In both cases, write the elements in the order 1, a, a 2 , a 3 , b, ab, a 2 b, a 3 b ...

Octic group Element 1 a a a b ab ab ab 1 1 a a a b ab ab ab a a 1 a a ab a ab b a ...

Give the tables for both the octic group (a, b: a 4 = 1, b 2 =

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Give the tables for both the octic group (a, b: a⁴ = 1, b² = 1, ba = a³b) and the quaternion group (a, b: a⁴ = 1, b² = a² , ba = a³b). In both cases, write the elements in the order 1, a, a², a³, b, ab, a² b, a³b.

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A First Course In Abstract Algebra

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Authors: John Fraleigh

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Give the tables for both the octic group (a, b: a 4 = 1, b 2 =

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A First Course In Abstract Algebra

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