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楼主: Coarctation
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Numbers,Perhaps the quickest way to get used to the group axioms is to look at some groups of numbers. The list below serves to give examples and to establish some notation.
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Dihedral Groups,Think back to the flat hexagonal plate mentioned earlier. Its twelve rotational symmetries combine in the natural way to form a group. For each positive integer . greater than or equal to three we can manufacture a plate which has . equal sides. In this way we produce a family of symmetry groups which are not commutative, the so-called ..
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Actions, Orbits, and Stabilizers,A good definition should be precise, economical, and capture a simple intuitive idea. If in addition it is easy to work with, so much the better. We begin this chapter with a definition having all these qualities.
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