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Subgroup growth of free products
Inventiones Mathematicae, 1996For a group \(G\) denote by \(s_G(n)\) the number of subgroups of index \(n\) in \(G\). The purpose of the present paper is to investigate the growth behaviour and the asymptotics of \(s_G(n)\) in the case when \(G\) is a free product of the form \(G=*^s_{k=1}G_k*F_r\) (\(0\leq r ...
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Abelian Subgroup Separability of Some Free, Product of Groups with Commuting Subgroups
Lobachevskii Journal of MathematicsThis article examines abelian subgroup separability in two algebraic settings: free products with commuting subgroups and graph products. The first main result shows that if \(A\) and \(B\) are finitely generated abelian subgroup separable groups with subgroups \(H_1 \le A\) and \(H_2 \le B\) such that \([H_1, H_2] = 1\) in the free product, then the ...
Temate Tangang, N. +2 more
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Closed Subgroups of Products of Reals
Bulletin of the London Mathematical Society, 1975Hunt, David C. +2 more
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Subgroups of products of locally compact groups.
2002Summary: A topological group \(G\) is said to be locally \(q\)-minimal if there exists a neighbourhood \(V\) of the identity of \(G\) such that whenever \(H\) is a Hausdorff group and \(f:G\to H\) is a continuous surjective homomorphism with \(f(V)\) a neighbourhood of 1 in \(H\), then \(f\) is open. Locally compact groups are locally \(q\)-minimal. It
DIKRANJAN, Dikran, Morris S.
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Natural products in drug discovery: advances and opportunities
Nature Reviews Drug Discovery, 2021Sergey B Zotchev +2 more
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Tumor-Node-Metastasis Staging of Pancreatic Adenocarcinoma
Ca-A Cancer Journal for Clinicians, 2008Matthew H G Katz
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Fixed subgroups in direct products of surface groups of Euclidean type
Communications in Algebra, 2020Qiang Zhang
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Intertumoral Heterogeneity within Medulloblastoma Subgroups
Cancer Cell, 2017Marc Remke +2 more
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