(a) Define what it means for s group to be cyclic.

(b) Give an example of an infinite cyclic group

(c) Determine whether the group U[15] = {1,2,4,7,8,11,13,14}, where multiplication is mod 15, is cyclic.

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- Dec 26th 2007, 09:04 AMJason BourneCyclic groups?
(a) Define what it means for s group to be cyclic.

(b) Give an example of an infinite cyclic group

(c) Determine whether the group U[15] = {1,2,4,7,8,11,13,14}, where multiplication is mod 15, is cyclic. - Dec 26th 2007, 09:11 AMThePerfectHacker
That is something you need to know from your textbook.

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(b) Give an example of an infinite cyclic group

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(c) Determine whether the group U[15] = {1,2,4,7,8,11,13,14}, where multiplication is mod 15, is cyclic.

- Dec 27th 2007, 11:42 AMJason Bourne
No, I cannot find any generators, so the group is not cyclic. (Rofl)

- Dec 27th 2007, 12:05 PMThePerfectHacker