I need to prove that H={(1 n 0 1) | n is an element of the integers} is a cyclic subgroup of GL2(reals). H is a matrix with the first row 1 and n and the second row 0 and 1. I appreciate the help!

Printable View

- January 30th 2013, 06:35 PMlovesmathCyclic Subgroup
I need to prove that H={(1 n 0 1) | n is an element of the integers} is a cyclic subgroup of GL2(reals). H is a matrix with the first row 1 and n and the second row 0 and 1. I appreciate the help!

- January 30th 2013, 07:41 PMDevenoRe: Cyclic Subgroup
i suppose you mean:

the way to do this is show that:

defined by:

is an isomorphism of groups. this means that if:

you need to show that:

and that is bijective.