book:chap2:2.3_groups
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book:chap2:2.3_groups [2023/10/22 12:46] – [2.3.3 Self Test] jv | book:chap2:2.3_groups [2023/10/22 12:53] (current) – jv | ||
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* **a) ** The set is // | * **a) ** The set is // | ||
* **b) ** The set has a //neutral element//: | * **b) ** The set has a //neutral element//: | ||
- | * **c) ** Each element has an //inverse element//: | + | * **c) ** Each element has an //inverse element//: |
* **d) ** The operation $\circ$ is // | * **d) ** The operation $\circ$ is // | ||
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Figure 2.7: Reflections of equilateral triangle with respect to the three symmetry axes form a group with six elements; see [[# | Figure 2.7: Reflections of equilateral triangle with respect to the three symmetry axes form a group with six elements; see [[# | ||
\\ | \\ | ||
- | Watch out: in this figure the operations are carried out from left to right, i.e. | + | **Watch out:** in this figure the operations are carried out from left to right: |
- | — in contrast to the convention introduced in the beginning of the present section | + | $ab$ refers here to $b$ after $a$, in contrast to the convention introduced in the beginning of the present section. |
- | $ab$ refers to $b$ after $a$. | + | |
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book/chap2/2.3_groups.1697971566.txt.gz · Last modified: 2023/10/22 12:46 by jv