Wir verwenden Cookies und Analyse-Tools, um die Nutzerfreundlichkeit der Internet-Seite zu verbessern und für Marketingzwecke. Wenn Sie fortfahren, diese Seite zu verwenden, nehmen wir an, dass Sie damit einverstanden sind. Zur Datenschutzerklärung.
Whitehead Problem
CHF 36.75
Auf Lager
SKU
DJIP4FFS9R7
1 Verfügbar 
Geliefert zwischen Mi., 04.02.2026 und Do., 05.02.2026
Details
High Quality Content by WIKIPEDIA articles! In group theory, a branch of abstract algebra, the Whitehead problem is the following question: Is every abelian group A with Ext1(A, Z) = 0 a free abelian group? Shelah (1974) proved that Whitehead's problem is undecidable within standard ZFC set theory. The condition Ext1(A, Z) = 0 can be equivalently formulated as follows: whenever B is an abelian group and f : B A is a surjective group homomorphism whose kernel is isomorphic to the group of integers Z, then there exists a group homomorphism g : A B with fg = idA. Abelian groups satisfying this condition are sometimes called Whitehead groups, so Whitehead's problem asks: is every Whitehead group free? Caution: The converse of Whitehead's problem, namely that every free abelian group is Whitehead, is a well known group-theoretical fact. Some authors call Whitehead group only a non-free group A satisfying Ext1(A, Z) = 0. Whitehead's problem then asks: do Whitehead groups exist?
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131191350
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786131191350
- Format Fachbuch
- Titel Whitehead Problem
- Herausgeber Betascript Publishing
- Anzahl Seiten 68
- Genre Mathematik
Bewertungen
Schreiben Sie eine Bewertung
