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- W1596664477 abstract "Let $fcolon Gto K$ be a homomorphism of $p$-groups such that $f^{(n)}colon H^n(K,mathbf Z /p)to H^n(G,mathbf Z/p)$ is injective, for $1le nle 2$. We prove that the non-bijectivity of $f$ implies the existence of a quotient $L$ of $G$ containing $K$ as a proper direct factor. This gives a refined proof of a result of Evens, which asserts that $f$ is bijective if $f^{(1)}$ is." @default.
- W1596664477 created "2016-06-24" @default.
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- W1596664477 date "1997-01-01" @default.
- W1596664477 modified "2023-10-17" @default.
- W1596664477 title "Group homomorphisms inducing mod-$p$ cohomology monomorphisms" @default.
- W1596664477 cites W642421629 @default.
- W1596664477 doi "https://doi.org/10.1090/s0002-9939-97-04129-4" @default.
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