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Dear Mrs. and Mr. Forum,

Andries Brouwer asks two questions concerning vector spaces, namely

whether elementary abelian groups can be regarded as vector spaces

and vice versa, and whether it is possible to describe the action of

a group on an elementary abelian subgroup via a matrix representation.

Here 'regard' and 'describe' apparently both mean that one has homomorphisms

between the group and the vector space resp. between the group and the

representation and its module. As stated recently in another message

to the GAP forum, up to now there is no developed data structure

representing vector spaces and modules in GAP, so the desired homomorphisms

would not be of much help. But as soon as these domains and some functions

dealing with them are available in GAP (hopefully in the next version),

the questions of Andries Brouwer can be answered 'yes'.

Thomas Breuer

(sam@ernie.math.rwth-aachen.de)

P.S.: What Andries Brouwer tells about the strange behaviour of '~'

of course describes a bug, but I cannot say anything about when

it will be fixed.

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