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UID:www.tcs.tifr.res.in/event/474
DTSTAMP:20230914T125926Z
SUMMARY:On the Group of Symmetries of the Rubik's Cube
DESCRIPTION:Speaker: Nikhil S Mande\n\nAbstract: \nAbstract: In this talk\,
we will prove that the group of symmetries of a standard (3x3x3) Rubik's
cube is isomorphic to (\\mathbb{Z}_37 \\times \\mathbb{Z}_2^{11}) \\rtimes
((A_8 \\times A_{12}) \\rtimes Z_2). Due to limited time\, some proofs ma
y not be completely rigorous. We will also try to understand how the above
structure suggests a natural commutator based approach to solving the Rub
ik's cube (and also how it generalizes to higher order cubes).\nThe talk w
ill assume a very basic group theory background\, namely knowledge of cycl
ic groups and direct products. We will define semidirect products and alte
rnating groups through the course of the talk.\n
URL:https://www.tcs.tifr.res.in/web/events/474
DTSTART;TZID=Asia/Kolkata:20140314T143000
DTEND;TZID=Asia/Kolkata:20140314T160000
LOCATION:D-405 (D-Block Seminar Room)
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