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- W1995906106 abstract "Let $S_5$ denote the symmetric group on 5 letters, and let $hat{S}_5$ denote a non-trivial double cover of $S_5$ whose Sylow 2-subgroups are generalized quaternion. We determine the universal deformation rings $R(S_5,V)$ and $R(hat{S}_5,V)$ for each mod 2 representation $V$ of $S_5$ that belongs to the principal 2-modular block of $S_5$ and whose stable endomorphism ring is given by scalars when it is inflated to $hat{S}_5$. We show that for these $V$, a question raised by the first author and Chinburg concerning the relation of the universal deformation ring of $V$ to the Sylow 2-subgroups of $S_5$ and $hat{S}_5$, respectively, has an affirmative answer." @default.
- W1995906106 created "2016-06-24" @default.
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- W1995906106 date "2011-04-01" @default.
- W1995906106 modified "2023-09-27" @default.
- W1995906106 title "Universal deformation rings for the symmetric group <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:msub><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msub></mml:math> and one of its double covers" @default.
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- W1995906106 doi "https://doi.org/10.1016/j.jpaa.2010.06.004" @default.
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