Here are several real-world algebraic problems, solved using the Magma language and intrinsics. Most of the examples have arisen from genuine research questions. The authors thank all those who have contributed.
If you are trying the examples on your own Magma, be warned that some of the examples require significant CPU time and/or storage space to complete their execution.
For more detailed examples, see the book Solving Problems with Magma , by Wieb Bosma, John Cannon, Catherine Playoust and Allan Steel, copyright 1996. This book is included in all Magma exports, and is obtainable from the Computational Algebra Group, University of Sydney.