DP Further Mathematics HL Questionbank
4.9
Description
[N/A]Directly related questions
- 17M.2.hl.TZ0.8c.i: Show that the order of the element \((n - 1)\) is 2.
- 15M.1.hl.TZ0.3d: Explain whether or not the group is cyclic.
- 15M.1.hl.TZ0.3c: State the order of each element.
- 11M.2.hl.TZ0.6a: (i) Draw the Cayley table for the set \(S = \left\{ {0,1,2,3,4,\left. 5 \right\}} \right.\)...
- 11M.2.hl.TZ0.6b: Prove that a cyclic group with exactly one generator cannot have more than two elements.
- 10M.2.hl.TZ0.1b: The domain of \( * \) is now reduced to \(S = \left\{ {0,2,3,4,5,\left. 6 \right\}} \right.\) and...
- 09M.2.hl.TZ0.2b: the group is cyclic.
- 08M.1.hl.TZ0.2b: (i) Determine the order of each element of \(\left\{ {G,\left. * \right\}} \right.\)...
- 12M.1.hl.TZ0.1a: The set \({{\rm{S}}_1} = \left\{ {2,4,6,8} \right\}\) and \({ \times _{10}}\) denotes...
- 12M.2.hl.TZ0.4B.a: Show that \(\left\{ {S,{ + _m}} \right\}\) is cyclic for all m .
- 12M.2.hl.TZ0.4B.b: Given that \(m\) is prime, (i) explain why all elements except the identity are generators...
- SPNone.1.hl.TZ0.14c: Giving a reason, state whether or not this group is cyclic.
- SPNone.2.hl.TZ0.4d: (i) Find the order of all the elements of \(G\) . (ii) Write down all the proper...
- 14M.2.hl.TZ0.2a: The set \(S\) contains the eighth roots of unity given by...
Sub sections and their related questions
The order of a group.
- 10M.2.hl.TZ0.1b: The domain of \( * \) is now reduced to \(S = \left\{ {0,2,3,4,5,\left. 6 \right\}} \right.\) and...
- 08M.1.hl.TZ0.2b: (i) Determine the order of each element of \(\left\{ {G,\left. * \right\}} \right.\)...
- SPNone.2.hl.TZ0.4d: (i) Find the order of all the elements of \(G\) . (ii) Write down all the proper...
The order of a group element.
- 15M.1.hl.TZ0.3c: State the order of each element.
Cyclic groups.
- 11M.2.hl.TZ0.6a: (i) Draw the Cayley table for the set \(S = \left\{ {0,1,2,3,4,\left. 5 \right\}} \right.\)...
- 11M.2.hl.TZ0.6b: Prove that a cyclic group with exactly one generator cannot have more than two elements.
- 09M.2.hl.TZ0.2b: the group is cyclic.
- 12M.1.hl.TZ0.1a: The set \({{\rm{S}}_1} = \left\{ {2,4,6,8} \right\}\) and \({ \times _{10}}\) denotes...
- 12M.2.hl.TZ0.4B.a: Show that \(\left\{ {S,{ + _m}} \right\}\) is cyclic for all m .
- 12M.2.hl.TZ0.4B.b: Given that \(m\) is prime, (i) explain why all elements except the identity are generators...
- SPNone.1.hl.TZ0.14c: Giving a reason, state whether or not this group is cyclic.
- 14M.2.hl.TZ0.2a: The set \(S\) contains the eighth roots of unity given by...
- 15M.1.hl.TZ0.3d: Explain whether or not the group is cyclic.
Generators.
- 14M.2.hl.TZ0.2a: The set \(S\) contains the eighth roots of unity given by...
