Finitely generated torsion-free soluble groups
ON A PLANCHEREL FORMULA FOR CERTAIN DISCRETE, FINITELY GENERATED, TORSION-FREE NILPOTENT GROUPS
... We prove a Plancherel formula for elementarily expo- nentiable, discrete, finitely generated, torsion-free nilpo- tent groups... 1. Let Γ be a discrete, finitely generated, torsion- free[r] ...
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On almost finitely generated nilpotent groups
... In Section 4 we show that both parts of the analogue of Theorem 0.1 fail for the class of nilpotent groups Indeed, we construct a torsion free nilpotent fg-like group H of rank 2, admitt[r] ...
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Commutator Length of Finitely Generated Linear Groups
... a soluble-by-finite linear group over C that depends only on d and the degree of ...a soluble-by-finite group of Pr ¨uffer rank r then clG ≤ rr 1/2 12r 3 or 2 , where or 2 is a quadratic polynomial in ...
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VIRTUAL FINITE QUOTIENTS OF FINITELY GENERATED GROUPS
... a finitely generated infinite torsion ...is finitely generated and residually ...is finitely generated then N o H is residually finite if both N and H are ...
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On the cotypeset of torsion-free abelian groups
... A torsion-free group A is called coseparable if, given any pure subgroup B of A such that A/B reduced of finite rank, B contains a summand C of A which has a completely decomposable finite rank ...a ...
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On invertor elements and finitely generated subgroups of groups acting on trees with inversions
... phrases. Groups acting on trees, invertor elements, finitely generated sub- ...nontrivial free product with amalgamation, then for any finitely generated subgroup H of G, H is contained in a ...
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Outradii of Teichmfiller spaces of finitely generated Fuchsian groups of the second kind
... First we construct {fi n }œ n _ i . Let D o be a Dirichlet region f o r r in 4 . Let D be the union of D ,, the reflection of D o in ad and the free sides of D o . Let A be an open circular arc whose closure is ...
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DEGREES OF ORDERS ON TORSION-FREE ABELIAN GROUPS
... acts to diagonalize. Lemma 3.13. The limit N i := lim s N i s exists for all i. Proof. The only time N i s+1 6= N i s is when we add a dependency relation of the form b s ` = qb s+1 k causing N k s+1 = d q dN k s . ...
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On a Nonsingular Equation of Length 9 Over Torsion Free Groups
... a free group generated by ...the free product of G and F . If G is a torsion free group then by Levin’s conjecture every equation is solvable ...
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Periodic rings with finitely generated underlying group
... Note that (R, +) = Zx ⊕ Zy ⊕ Zxy Z 3 , and R is commutative if and only if a = 1. The ring R is periodic since obviously u 3 = 0 for any u ∈ R . 4. Periodic rings R with R/t(R) Z . Proposition 2.2 shows that any periodic ...
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Computing invariants for finitely presented nilpotent groups
... A new algorithm which computes the primary invariants of the associated group rather than the torsion invariants is described. This algorithm appears more efficient for large examples. The second problem centres ...
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Product of Soluble Minimax Groups
... 581 Assume that G it not polycyclic-by-finite. Then G contains an abelian normal section U/V which is either torsion- free or periodic and is not finitely generated. Clearly the factorizer of ...
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FINITELY APPROXIMABLE GROUPS AND ACTIONS PART II: GENERIC REPRESENTATIONS
... Letting F ∞ denote the free group on countably many generators a 1 , a 2 , . . . , we have the following result, which indicates that one should expect few generic repre- sentations of non-finitely ...
On verbal subgroups of finitely generated nilpotent groups
... in finitely generated nilpotent ...poor finitely generated nilpotent group is a finite 𝑝-group with the lower 𝑝-central series for certain prime ...
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The construction of finite soluble factor groups of finitely presented groups and its application
... Schur multiplier of S4 and A4 is isomorphic to the cyclic group of order 2. This yields a contradiction as the automorphism groups of Dg and Q8 are isomorphic to D8 and the symme[r] ...
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Finitely generated left ideals in Banach algebras on groups and semigroups
... a is holomorphic on U under this identification for every a ∈ A. Does it then follow that the maximal ideals corresponding to points of U are finitely-generated? T. T. Reed gave an example [16, Example ...
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Mean dimension theory in symbolic dynamics for finitely generated amenable groups
... Abstract. In this paper, we mainly elucidate a close relationship be- tween the topological entropy and mean dimension theory for actions of polynomial growth groups. We show that metric mean dimension and mean ...
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DEGREES OF ORDERS ON TORSION-FREE ABELIAN GROUPS
... Proof. The domain and addition function on G are computable. By Lemma 2.4, every element of G has an inverse, and it is clear from the construction that the addition operation satisfies the axioms for a ...
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Suppose that Cl (X ) is finitely generated
... The theorem has the following meaning. At first, by [BCHM] and [TVAV], we know the Cox rings are finitely generated if the base varieties are of Fano type or smooth surfaces with big anticanonical divisor. ...
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Finitely Generated n-Ideals of a NearLattice
... An element n of a nearlattice S is called a standard element if for all t, x, y ∈ S, t ∧ [(x ∧ y) ∨ (x ∧ n)] = (t ∧ x ∧ y) ∨ (t ∧ x ∧ n). Moreover, n is called a neutral element if ( i ) n is standard, and ( ii ) n ∧ [(t ...
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