• Syllabus

8.8

---

---

Sub sections and their related questions

Example of groups: $\mathbb{R}$, $\mathbb{Q}$, $\mathbb{Z}$ and $\mathbb{C}$ under addition.

• 08N.3srg.hl.TZ0.4: Determine, giving reasons, which of the following sets form groups under the operations given...
• SPNone.3srg.hl.TZ0.3a: (i)     Write down the Cayley table for $\{ G,{\text{ }}{ \times _7}\}$ . (ii)     Determine...

Example of groups: integers under addition modulo $n$.

• 08N.3srg.hl.TZ0.4: Determine, giving reasons, which of the following sets form groups under the operations given...
• SPNone.3srg.hl.TZ0.3a: (i)     Write down the Cayley table for $\{ G,{\text{ }}{ \times _7}\}$ . (ii)     Determine...

Example of groups: non-zero integers under multiplication, modulo $p$, where $p$ is prime.

• 08N.3srg.hl.TZ0.4: Determine, giving reasons, which of the following sets form groups under the operations given...
• SPNone.3srg.hl.TZ0.3a: (i)     Write down the Cayley table for $\{ G,{\text{ }}{ \times _7}\}$ . (ii)     Determine...

Symmetries of plane figures, including equilateral triangles and rectangles.

None

Invertible functions under composition of functions.

None