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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the cup product for groups


Authors: M. N. Dyer, J. V. Leahy and L. J. Mooney
Journal: Proc. Amer. Math. Soc. 116 (1992), 219-227
MSC: Primary 20J99; Secondary 18G15, 55N45, 55U20
MathSciNet review: 1093596
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Abstract: For $ G$ any group and trivial coefficients in $ R$, a commutative ring, the authors analyze the kernel of the cup product $ \cup :{H^1}\left( {G,R} \right) \otimes {H^1}\left( {G,R} \right) \to {H^2}\left( {G,R} \right)$ by splicing it together with part of the six-term Hom-Ext exact sequence obtained from $ 0 \to {I^2}/{I^3} \to I/{I^3} \to I/{I^2} \to 0$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1093596-6
PII: S 0002-9939(1992)1093596-6
Article copyright: © Copyright 1992 American Mathematical Society