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Definition (A Closed Set Of Permutations)

We say that a set of permutations is closed if the set $S$ is equal to its span, so notionally we write $$S=\text{span}{(S)}.$$ In other words, we say that $S$ is closed if the set $S$ already contains every composition combination of permutations of elements in $S$.

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Definition.AClosedSetOfPermutations
Schedule.20130927
Schedule.20131002
Schedule.20131004
Schedule.20160923
Schedule.20160926
Schedule.20160928
Schedule.20160930
Schedule.20161003
Schedule.20161005
Schedule.20170927
Schedule.20171002
Schedule.20171004
Schedule.20171006
Schedule.AllProblems

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Page last modified on October 03, 2016, at 01:15 PM

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HomePage Current Problems All Problems Pictures ProblemsByWeek List of Problems List of Definitions List of Theorems List of Conjectures All Recent changes (use this to find a page that may have been lost)	Definition A Closed Set Of Permutations Please Login to access more options. Definition (A Closed Set Of Permutations) We say that a set of permutations is closed if the set $S$ is equal to its span, so notionally we write $$S=\text{span}{(S)}.$$ In other words, we say that $S$ is closed if the set $S$ already contains every composition combination of permutations of elements in $S$. The following pages link to this page. Definition.AClosedSetOfPermutations Schedule.20130927 Schedule.20131002 Schedule.20131004 Schedule.20160923 Schedule.20160926 Schedule.20160928 Schedule.20160930 Schedule.20161003 Schedule.20161005 Schedule.20170927 Schedule.20171002 Schedule.20171004 Schedule.20171006 Schedule.AllProblems Edit Page History Source Attach File Backlinks List Group Page last modified on October 03, 2016, at 01:15 PM
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