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Dear GAP Forum,

Neil Zanella asked

Is anyone aware of any packages avaliable for GAP that deal

specifically with group rings and their units?

For dealing with group rings, there is a package written

by Philip Osterlund.

It is available from the usual GAP servers,

and can be found there as `pub/gap/deposit/gap/groupring'.

As for units of group rings,

the GAP share package SISYPHOS written by Martin Wursthorn

provides an algorithm to compute the normalized units

of the group algebras of p-groups over the field with

p elements.

More general, one can compute unit groups of quotients

of these group algebras by powers of the augmentation ideal.

SISYPHOS is a C program with an interface to GAP,

whereas the group ring programs by Philip Osterlund

are written in GAP.

Thomas

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