| 1. | The absolute Galois group is well-defined up to inner automorphism.
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| 2. | As a subgroup, it is always isomorphic to the inner automorphism group,.
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| 3. | For the automorphism group is Z 2, with trivial inner automorphism group and outer automorphism group Z 2.
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| 4. | In particular, every automorphism of a central simple " k "-algebra is an inner automorphism.
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| 5. | The inner automorphism group is isomorphic to A _ 4, and the full automorphism group is isomorphic to S _ 4.
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| 6. | I love the example given in Inner automorphism : " take off shoes, take off socks, put on shoes ".
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| 7. | Every non-inner automorphism yields a non-trivial element of, but different non-inner automorphisms may yield the same element of.
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| 8. | *PM : groups with abelian inner automorphism group, id = 9799 new !-- WP guess : groups with abelian inner automorphism group-- Status:
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| 9. | *PM : groups with abelian inner automorphism group, id = 9799 new !-- WP guess : groups with abelian inner automorphism group-- Status:
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| 10. | :Perhaps reading Inner automorphism # The inner and outer automorphism groups will give you a hint .-- Talk 15 : 52, 13 June 2007 ( UTC)
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