This is a preview. Log in through your library . Abstract Let Sym M be the symmetric group of an infinite set M. What is the smallest subgroup of Sym M containing a given element if the subgroup is ...
Group theory, a cornerstone of modern algebra, provides a framework to explore the structure, symmetry, and internal operations of sets endowed with a binary operation. Central to this discipline is ...
This story is a supplement to the feature "Rubik's Cube Inspired Puzzles Demonstrate Math's "Simple Groups"" which was printed in the July 2008 issue of Scientific American. All three new puzzles ...
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