| 1. | The centralizer of a maximal torus is called a Cartan subgroup.
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| 2. | The center is the centralizer of the entire ring " R ".
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| 3. | The double centralizer theorems give conditions under which one can conclude that equality occurs.
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| 4. | Making the extended centralizer of an element x equal to the normalizer of the set
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| 5. | For involutions or non-real elements, centralizer and extended centralizer are equal.
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| 6. | For involutions or non-real elements, centralizer and extended centralizer are equal.
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| 7. | He is a centralizer by instinct and a disperser by ( current ) intellectual conviction.
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| 8. | The extended centralizer of an element of a group G is always a subgroup of G.
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| 9. | Its centralizer has the form 2 12 : M 12 and has conjugates inside the monomial subgroup.
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| 10. | The centralizer of \ mathfrak { g } itself is called the center of \ mathfrak { g }.
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