Symmetry
Symmetry

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Symmetry

3 Group axioms

Section 3 is an audio section. We begin by defining the terms group, Abelian group and order of a group. We then demonstrate how to check the group axioms, and we extend the examples of groups that we use to include groups of numbers – the modular arithmetics, the integers and the real numbers.

Click the link below to open Section 3 (11 pages, 703KB).

Section 3 [Tip: hold Ctrl and click a link to open it in a new tab. (Hide tip)]

Please listen to the audio clips below when you are instructed to do so.

Click play to listen to the audio clip for frames 1 to 2 (8 minutes).

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Frames 1-2
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Click play to listen to the audio clip for frames 3 to 6 (7 minutes).

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Frames 3-6
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Click play to listen to the audio clip for frames 7 to 8 (4 minutes).

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Frames 7-8
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Click play to listen to the audio clip for frames 9 to 10 (3 minutes).

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Frames 9-10
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Click play to listen to the audio clip for frames 11 to 13 (5 minutes).

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Frames 11-13
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Click play to listen to the audio clip for frames 14 to 15 (5 minutes).

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