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math.GR Group Theory

• Group theory provides methods for understanding the Rubik's cube, and for generating algorithms for solving the cube remarkably quickly from any state the cube may be in.
• Groups find various applications in chemistry, eg. in the study of crystal structures and spectroscopy.
• Cryptography - various hard algorithmic problems about groups are used to design crypto-systems.
• Groups of symmetries are used to reduce the dimension of parameter spaces in engineering models to make model verification more tractable.
• Potentially fast matrix multiplication; see this MO question.
• Card tricks that don't work by sleight of hand, but via the arrangements of the cards. e.g. Sim Sala Bim, see this site for a description. If you think about it, the symmetric group explains the trick and shows you how you to extend it past three piles of seven cards, but to N piles of M cards.

math.GR Group Theory

• Group theory provides methods for understanding the Rubik's cube, and for generating algorithms for solving the cube remarkably quickly from any state the cube may be in.
• Groups find various applications in chemistry, eg. in the study of crystal structures and spectroscopy.
• Cryptography - various hard algorithmic problems about groups are used to design crypto-systems.
• Groups of symmetries are used to reduce the dimension of parameter spaces in engineering models to make model verification more tractable.
• Potentially fast matrix multiplication; see this MO question.
• Card tricks that don't work by sleight of hand, but via the arrangements of the cards. e.g. Sim Sala Bim, see this site for a description. If you think about it, the symmetric group explains the trick and shows you how you to extend it past three piles of seven cards, but to N piles of M cards.

math.GR Group Theory

• Group theory provides methods for understanding the Rubik's cube, and for generating algorithms for solving the cube remarkably quickly from any state the cube may be in.
• Groups find various applications in chemistry, eg. in the study of crystal structures and spectroscopy.
• Cryptography - various hard algorithmic problems about groups are used to design crypto-systems.
• Groups of symmetries are used to reduce the dimension of parameter spaces in engineering models to make model verification more tractable.
• Potentially fast matrix multiplication; see this MO question.
• Card tricks that don't work by sleight of hand, but via the arrangements of the cards. e.g. Sim Sala Bim, see this site for description and a graphical explanation. If you think about it, the symmetric group explains the trick and shows you how you to extend it past three piles of seven cards, but to N piles of M cards.

math.GR Group Theory

• Group theory provides methods for understanding the Rubik's cube, and for generating algorithms for solving the cube remarkably quickly from any state the cube may be in.
• Groups find various applications in chemistry, eg. in the study of crystal structures and spectroscopy.
• Cryptography - various hard algorithmic problems about groups are used to design crypto-systems.
• Groups of symmetries are used to reduce the dimension of parameter spaces in engineering models to make model verification more tractable.
• Potentially fast matrix multiplication; see this MO question.
• Card tricks that don't work by sleight of hand, but via the arrangements of the cards. e.g. Sim Sala Bim, see this site for a description. If you think about it, the symmetric group explains the trick and shows you how you to extend it past three piles of seven cards, but to N piles of M cards.

math.GR Group Theory

• Group theory provides methods for understanding the Rubik's cube, and for generating algorithms for solving the cube remarkably quickly from any state the cube may be in.
• Groups find various applications in chemistry, eg. in the study of crystal structures and spectroscopy.
• Cryptography - various hard algorithmic problems about groups are used to design crypto-systems.
• Groups of symmetries are used to reduce the dimension of parameter spaces in engineering models to make model verification more tractable. math.GR Group Theory: used for
• Potentially fast matrix multiplication; see this MO question.
• Card tricks that don't work by sleight of hand, but via the arrangements of the cards. e.g. Sim Sala Bim, see this site for description and a graphical explanation. If you think about it, the symmetric group explains the trick and shows you how you to extend it past three piles of seven cards, but to N piles of M cards.

math.GR Group Theory

• Group theory provides methods for understanding the Rubik's cube, and for generating algorithms for solving the cube remarkably quickly from any state the cube may be in.
• Groups find various applications in chemistry, eg. in the study of crystal structures and spectroscopy.
• Cryptography - various hard algorithmic problems about groups are used to design crypto-systems.
• Groups of symmetries are used to reduce the dimension of parameter spaces in engineering models to make model verification more tractable.
• Potentially fast matrix multiplication; see this MO question.
• Card tricks that don't work by sleight of hand, but via the arrangements of the cards. e.g. Sim Sala Bim, see this site for description and a graphical explanation. If you think about it, the symmetric group explains the trick and shows you how you to extend it past three piles of seven cards, but to N piles of M cards.