A combinatorial principle equivalent to the existence of non-free Whitehead groups
classification
🧮 math.LO
math.RA
keywords
lambdawhiteheadcardinalityfreegroupsprincipletherecardinal
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As a consequence of identifying the principle described in the title, we prove that for any uncountable cardinal lambda, if there is a lambda-free Whitehead group of cardinality lambda which is not free, then there are many ``nice'' Whitehead groups of cardinality lambda which are not free.
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