Group radicals and strongly compact cardinals

Joan Bagaria; Menachem Magidor

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

Group radicals and strongly compact cardinals

Joan Bagaria
, Menachem Magidor

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

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 ω₁-strongly compact cardinal is singular.

Original language	English
Pages (from-to)	1857-1877
Number of pages	21
Journal	Transactions of the American Mathematical Society
Volume	366
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9947-2013-05871-0
State	Published - 2014

Keywords

Group radical
Infinite abelian group
Measurable cardinal
Radin forcing
Strongly compact cardinal
Supercompact cardinal
Torsion class

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10.1090/S0002-9947-2013-05871-0

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KW - Infinite abelian group

KW - Measurable cardinal

KW - Radin forcing

KW - Strongly compact cardinal

KW - Supercompact cardinal

KW - Torsion class

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Group radicals and strongly compact cardinals

Abstract

Keywords

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