Group radicals and strongly compact cardinals

Bagaria, Joan; Magidor, Menachem

doi:10.1090/S0002-9947-2013-05871-0

Group radicals and strongly compact cardinals
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by Joan Bagaria and Menachem Magidor PDF

Trans. Amer. Math. Soc. 366 (2014), 1857-1877 Request permission

Abstract:

We answer some natural questions about group radicals and torsion classes, which involve the existence of measurable cardinals, by constructing, relative to the existence of a supercompact cardinal, a model of ZFC in which the first $\omega _1$-strongly compact cardinal is singular.

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