Let
(The circular order of multiplication is indicated by the diagram in Figure
Sec.
Sec.
Sec.
Sec.
Sec.
Sec.
Sec.
22. Find the center
a.
32. Find the centralizer for each element
a. The quaternion group
Sec.
2. Let
Sec.
11. The following set of matrices
Sec.
8. Let be the quaternion group of units
Sec.
23. Find all subgroups of the quaternion group.
Sec.
40. Find the commutator subgroup of each of the following groups.
a. The quaternion group
Sec.
3. The quaternion group
;
11. Find all homomorphic images of the quaternion group.
16. Repeat Exercise with the quaternion group
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Elements Of Modern Algebra
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningElements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,