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This article is cited in 7 scientific papers (total in 7 papers)
Homology of free Abelianized extensions of groups
L. G. Kovacs, Yu. V. Kuz'min, R. Stohr
Abstract:
Let $G$ be a group given by a free presentation $G=F/N$, and $N'$ the commutator subgroup of $N$. The quotient $F/N'$ is called a free abelianized extension of $G$. We study the homology of $F/N'$ with trivial coefficients. In particular, for torsion-free $G$ our main result yields a complete description of the odd torsion in the integral homology of $F/N'$ in terms of the mod $p$ homology of $G$.
Received: 15.05.1990
Citation:
L. G. Kovacs, Yu. V. Kuz'min, R. Stohr, “Homology of free Abelianized extensions of groups”, Mat. Sb., 182:4 (1991), 526–542; Math. USSR-Sb., 72:2 (1992), 503–518
Linking options:
https://www.mathnet.ru/eng/sm1309https://doi.org/10.1070/SM1992v072n02ABEH001416 https://www.mathnet.ru/eng/sm/v182/i4/p526
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Abstract page: | 285 | Russian version PDF: | 100 | English version PDF: | 12 | References: | 46 | First page: | 1 |
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