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Algebraic Geometry Commons

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2009

Theses Digitization Project

Symmetry groups

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Full-Text Articles in Algebraic Geometry

On A Symmetric Presentation Of The Double Cover Of M₂₂: 2, Gabriela Laura Maerean Jan 2009

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).