5 Groups and Homomorphisms

In this chapter we will show some computations with groups. The examples deal mostly with permutation groups, because they are the easiest to input. The functions mentioned here, like Group, Size or SylowSubgroup, however, are the same for all kinds of groups, although the algorithms which compute the information of course will be different in most cases.

Sections

1. Permutation groups
2. Actions of Groups
3. Subgroups as Stabilizers
4. Group Homomorphisms by Images
5. Nice Monomorphisms
6. Further Information about Groups and Homomorphisms

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