# Answer to Question #23724 in Abstract Algebra for Hym@n B@ss

Question #23724

Let k be the algebraic closure of Fp and K = k(t), where t is an indeterminate. Let G be an elementary p-group of order p^2 generated by a, b. Show that

a → A =

1 1

0 1

b→ B =

1 t

0 1

defines a representation of G over K which is not equivalent to any representation of G over k.

a → A =

1 1

0 1

b→ B =

1 t

0 1

defines a representation of G over K which is not equivalent to any representation of G over k.

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