Dear All

Can I ask this question?

List all elements of the group Z8. For each element indicate its inverse?

Can I ask why Z8 has the element {1,3,5,7}

and 1^-1 = 1 and 3^-1 = 3, 5 ^-1 = 5, 7^-1 = 7?

Thanks a lot indeed.

Printable View

- May 10th 2014, 06:02 PMyanirosethe Group Z8
Dear All

Can I ask this question?

List all elements of the group Z8. For each element indicate its inverse?

Can I ask why Z8 has the element {1,3,5,7}

and 1^-1 = 1 and 3^-1 = 3, 5 ^-1 = 5, 7^-1 = 7?

Thanks a lot indeed. - May 10th 2014, 07:22 PMProve ItRe: the Group Z8
Surely Z8 has the elements {0, 1, 2, 3, 4, 5, 6, 7}...

As for the inverses, draw up your additive and multiplicative tables, see which elements combine to give you 0 for the additive table and 1 for the multiplicative table, remembering that you will be doing modular arithmetic with base 8.