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Dear GAP Forum:

Does anyone know an easy way to construct a matrix group over a

ring such as Z/p^nZ in GAP? For example, I've tried constructing the

ring R of 2x2 matrices

over Z/9Z, for example, using something like

R:=MatrixAlgebra(ZmodnZ(9),2),

but then Units(R) returns the empty list. (I expected "Units(R);" to

return the group

GL(2,Z/9Z).) The same thing happens when I use

Full MatrixModule(ZmodnZ(9),2,2),

for example.

Eventually, I'd like to convert such a group into a permutation group

and

study it's representations. - David Joyner

--

David Joyner, wdj@usna.edu, Prof Math Dept, USNA, Annapolis, MD, USA

office: 410-293-6738, Chauvenet Hall 328, URL: http://tinah.mslab.usna.edu/

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Dear GAP Forum:

<br> Does anyone know an easy way to construct a matrix group over

a

<br>ring such as Z/p^nZ in GAP? For example, I've tried constructing the

ring R of 2x2 matrices

<br>over Z/9Z, for example, using something like

<br>R:=MatrixAlgebra(ZmodnZ(9),2),

<br>but then Units(R) returns the empty list. (I expected "Units(R);" to

return the group

<br>GL(2,Z/9Z).) The same thing happens when I use

<br>Full MatrixModule(ZmodnZ(9),2,2),

<br>for example.

<br> Eventually, I'd like to convert such a group into a permutation

group and

<br>study it's representations. - David Joyner

<pre>--

David Joyner, wdj@usna.edu, Prof Math Dept, USNA, Annapolis, MD, USA

office: 410-293-6738, Chauvenet Hall 328, URL: <A HREF="http://tinah.mslab.usna.edu/">http://tinah.mslab.usna.edu/</A></pre>

</html>

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