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# the set of "moves" on a Rubik's cube, where a move is understood to be a finite sequence of twists: here, the identity move is to do nothing, while the inverse of a move is to do the move in reverse, thereby undoing it.
 
# the set of "moves" on a Rubik's cube, where a move is understood to be a finite sequence of twists: here, the identity move is to do nothing, while the inverse of a move is to do the move in reverse, thereby undoing it.
 
# The [[Symmetric group]]
 
# The [[Symmetric group]]
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# The [[General Linear Group]]s and [[Special Linear Group]]s.
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# The general and special [[Linear group]]s.
    
Groups are the appropriate mathematical structures for any application involving [[symmetry]].
 
Groups are the appropriate mathematical structures for any application involving [[symmetry]].
    
[[Category:Algebra]]
 
[[Category:Algebra]]
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