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The Group Theoretic Rubik's Cube, Ashley Cotten
The Group Theoretic Rubik's Cube, Ashley Cotten
Senior Honors Theses and Projects
Cyclic fads often boomerang our childhood toys, sending them back to us with renewed popularity during our adulthood. Recently, Rubik's Cube has made a startling comeback and is once again a staple in most toy stores. Invented by Erno Rubik in his hometown of Budapest, Hungary, the original \Magic Cube" was released in 1974. Upon its world debut in 1980, the toy named after this Hungarian architect became an instant classic. Over 350 billion Rubik's Cubes have been sold worlwide [sic] over the past 30 years, making it easily the top-selling puzzle toy in documented history.
This seemingly innocuous puzzle …
On A Symmetric Presentation Of The Double Cover Of M₂₂: 2, Gabriela Laura Maerean
On A Symmetric Presentation Of The Double Cover Of M₂₂: 2, Gabriela Laura Maerean
Theses Digitization Project
The purpose of this project is to construct finite homomorphic images of infinite semi-direct products. We will construct two finite homomorphic images, L₂ (8) and PGL₂ (9) of the infinite semi-direct product 2*³ : S₃. The main part of this project is to construct the double cover 2 - M₂₂ : 2 and the automorphism group M₂₂ : 2 of the Matheiu sporadic group M₂₂ as a homomorphic image of the progenitor 2*⁷ : L₃ (2).