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Evaluation of the InTempo path set for CyberKnife prostate and lung SBRT: A single-institution experience. [PDF]
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Finite index subgroups of conjugacy separable groups
Forum Mathematicum, 2009A group \(G\) is conjugacy separable if whenever \(x\) and \(y\) are non-conjugate elements of \(G\), there exists some finite quotient of \(G\) in which the images of \(x\) and \(y\) are non-conjugate. The conjugacy separability of a finite index subgroup of a conjugacy separable group was not clear.
Chagas, Sheila C., Zalesskii, Pavel A.
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Finite index subgroups of graph products
Geometriae Dedicata, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Finite Index Subgroups of Linear Groups
Bulletin of the London Mathematical Society, 1987Let F be a field of characteristic different from 2 and 3 and \(\Gamma\) a finitely generated subgroup of \(GL_ n(G)\). Then: (a) If \(\Gamma\) is not solvable by finite then for every prime p, the p-Sylow subgroup of \({\hat \Gamma}\), the pro-finite completion of \(\Gamma\), is infinitely generated.
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THE NORMAL INDEX OF SUBGROUPS IN FINITE GROUPS
Asian-European Journal of Mathematics, 2010In this paper, we shall generalize the concept of the normal index and obtain the characterizations for a finite group to be solvable, p-solvable, p-nilpotent and supersolvable.
Yin, Xia, Li, Xianhua
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Subgroups of Finite Index in Free Groups
Canadian Journal of Mathematics, 1949This paper has as its chief aim the establishment of two formulae associated with subgroups of finite index in free groups. The first of these (Theorem 3.1) gives an expression for the total length of the free generators of a subgroup U of the free group Fr with r generators.
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Counting free subgroups of finite index
Archiv der Mathematik, 1992Let \(G\) be a finitely generated (infinite) virtually free group and denote by \(m_ G\) the least common multiple of the orders of the finite subgroups in \(G\). The author continues the investigation of the function \(b_ G : N \to N\), where \(b_ G (\lambda)\) is the number of free subgroups of index \(\lambda m_ G\) in \(G\). An asymptotic expansion
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Subgroups of finite index in Baumslag–Solitar groups
Algebra and Logic, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Groups with noncyclic subgroups of finite index
Ukrainian Mathematical Journal, 1984The authors give a detailed description of the structure of locally almost soluble groups in which every non-cyclic subgroup is of finite index. They show that such a group must be one of ten types, each itself very simple to describe.
Kurdachenko, L. A., Pylaev, V. V.
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