G = GL(2,R), H = {A 2 G : det(A) = 1}

(where the set of all permutations which send 1 → 1)

How could i possibly determine the identity (and consequently the inverse) of the above?

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- April 11th 2010, 07:33 AMLightningepsilonIdentity and Inverse of a Permutation set
G = GL(2,R), H = {A 2 G : det(A) = 1}

(where the set of all permutations which send 1 → 1)

How could i possibly determine the identity (and consequently the inverse) of the above? - April 11th 2010, 10:54 AMtonio
- April 12th 2010, 02:56 AMLightningepsilon
Sorry for the very badly worded question!

What i meant was we have and i have to determine whether or not H is a subgroup of G.

I've determined H is closed - now i have to find out whether or not H has an identity and an inverse. Neither or which i can find.

(Worried) - April 12th 2010, 03:38 AMtonio
- April 12th 2010, 05:26 AMLightningepsilon