Sage Interactions - Groups Using the GAP System

This page was first created for Google Summer of Code 2021 by Alexis Newton, with mentorship by Mckenzie West.

If you have interactions that you are interested in adding to this page, please do so. You can also contact Alexis Newton at [email protected].

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Calling Groups from GAP

GAP is a system...explanation of what we are doing (calling GAP), what gap is and what its limitations are

We rely heavily on the Small Group and All Small Groups GAP commands within this page. The documentation for these can be found on the GAP System website.

Group of Order n

Use this interact to call a group of order n from the GAP library.

Group of Order n of a Certain Type

Use this interact to specify a type of group to call.

All Groups of Order n

Use this interact to call all groups of order n from the GAP library.

All Groups of Order n of a Certain Type

Use this interact to specify a type of group to call.

Small Group Info

Use this interact to learn information about the small groups of order n contained in the GAP library.

Calling a List of Groups from GAP

explanation part 2

Groups Order Less Than or Equal to n

Use this interact to call all groups from the GAP library that have order less than or equal to your desired value.

Groups Order Between m and n

Use this interact to call all the groups from the GAP library that have order between m and n

Groups of a Certain Type

Use this interact to call all groups of a certain type from the GAP library that have order between m and n

Direct or Semidirect Product Groups

Use this interact to specify groups that contain direct or semidirect products.