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| == Basic Commands == | == Calling Groups from GAP == |
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| === All groups of order less than or equal to n === You can use this interact to call all the lists from the GAP library that are order less than or equal to your desired n value. {{{#!sagecell #Last edited 8/5/21 2:45pm pretty_print(html("<h1>Groups</h1>")) pretty_print(html("<h>put in the n and m<h>")) |
=== Group of Order n === Call group order n {{{#!sagecell #Last edited 8/5/21 2:45pm pretty_print(html("<h1>Order n </h1>")) pretty_print(html("<h>Choose a group order.<h>")) @interact def foo(n = input_box(default='10', label="Order:"), m = input_box(default='1', label= "Group Number:")): top = len(gap(n).AllSmallGroups()) print('There are', top, 'groups of order', n ,'in the GAP library.') print('Group', m , 'of', top, 'is', gap(gap(n).SmallGroup(m)).StructureDescription()) }}} === Group of Order n that is ...=== === All Groups of Order n === === All Groups of Order n that are ...=== == Calling a List of Groups from GAP == explanation === Groups Order Less Than or Equal to n === You can use this interact to call all the lists from the GAP library that are order less than or equal to your desired value. {{{#!sagecell #Last edited 8/5/21 2:45pm pretty_print(html("<h1>Upper Bound on Order </h1>")) pretty_print(html("<h>Choose an upper bound for the order.<h>")) |
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| === All groups of order between m and n === You can use this interact to call all the lists from the GAP library that are between m and n {{{#!sagecell #Last edited 8/5/21 2:45pm pretty_print(html("<h1>Groups</h1>")) pretty_print(html("<h>put in the n and m<h>")) |
=== Groups Order Between m and n === You can use this interact to call all the lists from the GAP library that have order between m and n {{{#!sagecell #Last edited 8/5/21 2:45pm pretty_print(html("<h1>Upper and Lower Bound on Order</h1>")) pretty_print(html("<h>Choose an upper bound and a lower bound for the order.<h>")) |
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| === All groups of which meet certain parameters === You can use this interact to call all the lists from the GAP library that are order less than or equal to your desired n value. {{{#!sagecell #Last edited 8/5/21 2:45pm pretty_print(html("<h1>Groups</h1>")) pretty_print(html("<h>put in the n and m<h>")) |
=== Groups Meeting Selected Parameters === You can use this interact to {{{#!sagecell #Last edited 8/5/21 2:45pm pretty_print(html("<h1>Group Type</h1>")) pretty_print(html("<h>Select a parameter.<h>")) |
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| === All groups of which meet certain parameters === You can use this interact to call all the lists from the GAP library that are order less than or equal to your desired n value. {{{#!sagecell #Last edited 8/5/21 2:45pm pretty_print(html("<h1>Groups</h1>")) pretty_print(html("<h>put in the n and m<h>")) |
=== Direct or Semidirect Groups === {{{#!sagecell #Last edited 8/5/21 2:45pm pretty_print(html("<h1>Direct or Semidirect</h1>")) pretty_print(html("<h>Check a box to limit the results<h>")) |
Sage Interactions - Groups
This page was first created for Google Summer of Code by Alexis Newton, with mentorship by Mckenzie West.
If you have group-related interactions that you are interested in adding to this page, please do so. You can also contact Alexis Newton at [email protected].
goto interact main page
Contents
Calling Groups from GAP
explanation
Group of Order n
Call group order n
=== Group of Order n that is ...===
All Groups of Order n
=== All Groups of Order n that are ...===
Calling a List of Groups from GAP
explanation
Groups Order Less Than or Equal to n
You can use this interact to call all the lists from the GAP library that are order less than or equal to your desired value.
Groups Order Between m and n
You can use this interact to call all the lists from the GAP library that have order between m and n
Groups Meeting Selected Parameters
You can use this interact to
Direct or Semidirect Groups