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F. Grunewald, D. Segal, G. Smith (1988)
Subgroups of finite index in nilpotent groupsInventiones mathematicae, 93
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Shafarevich, Number theory
D. Robinson (1972)
Finiteness conditions and generalized soluble groups
D. Segal, E. Robertson, C. Campbell (1987)
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(1986)
II’, Groups—St Andrews 1985, London Math
Let N be a torsion-free nilpotent group of class c and finite rank
A. Shalev (1999)
On the degree of groups of polynomial subgroup growthTransactions of the American Mathematical Society, 351
A. Lubotzky, A. Mann, D. Segal (1993)
Finitely generated groups of polynomial subgroup growthIsrael Journal of Mathematics, 82
Every finitely generated subgroup of N is poly-(infinite-cyclic) of length at most h(N)
A. Mann, D. Segal (1990)
Uniform Finiteness Conditions in Residually Finite GroupsProceedings of The London Mathematical Society
Let N be a torsion-free nilpotent group of nilpotency class c and finite Hirsch length h(N)
Let G be a residually‐finite virtually soluble minimax group. We give upper and lower linear bounds for the degree of subgroup growth of G in terms of the Hirsch length of G. 2000 Mathematics Subject Classification 20F99.
Bulletin of the London Mathematical Society – Wiley
Published: Jul 1, 2000
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