Search Results - "BAUMSLAG, GILBERT"

Localization, metabelian groups, and the isomorphism problem by BAUMSLAG, GILBERT, MIKHAILOV, ROMAN, ORR, KENT E.

“…If G and H are finitely generated, residually nilpotent metabelian groups, H is termed para- G if there is a homomorphism of G into H which induces an…”
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Recognizing powers in nilpotent groups and nilpotent images of free groups by Baumslag, Gilbert

“…An element in a free group is a proper power if and only if it is a proper power in every nilpotent factor group. Moreover there is an algorithm to decide if…”
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Algebraic Geometry over Groups I. Algebraic Sets and Ideal Theory by Baumslag, Gilbert, Myasnikov, Alexei, Remeslennikov, Vladimir

“…The object of this paper, which is the first in a series of three, is to lay the foundations of the theory of ideals and algebraic sets over groups…”
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Cryptosystems using Linear Groups by Baumslag, Gilbert, Fine, Benjamin, Xu, Xiaowei

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A Representation of the Wreath Product of Two Torsion-Free Abelian Groups in a Power Series Ring by Baumslag, Gilbert

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Finitely generated residually torsion-free nilpotent groups. I by Baumslag, Gilbert

“…The object of this paper is to study the sequence of torsion-free ranks of the quotients by the terms of the lower central series of a finitely generated…”
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Some two-generator one-relator non-Hopfian groups by Baumslag, Gilbert, Solitar, Donald

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Residual properties of groups defined by basic commutators by Baumslag, Gilbert, Mikhailov, Roman

“…In this paper we study the residual nilpotence of groups defined by basic commutators. We prove that the so-called Hydra groups as well as certain of their…”
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Decomposability of Finitely Generated Torsion-free Nilpotent Groups by Baumslag, Gilbert, MillerIII, Charles F, Ostheimer, Gretchen

“…We describe an algorithm for deciding whether or not a given finitely generated torsion-free nilpotent group is decomposable as the direct product of…”
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Experimenting with Infinite Groups, I by Baumslag, Gilbert, Cleary, Sean, Havas, George

“…A group is termed parafree if it is residually ni Ipotent and has the same nilpotent quotients asa given free group. Since free groups are residually…”
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Two Theorems about Equationally Noetherian Groups by Baumslag, Gilbert, Myasnikov, Alexei, Roman'kov, Vitaly

“…An algebraic set over a groupGis the set of all solutions of some system {f(x1,…,xn)=1∣f∈G∗〈x1,…,xn〉} of equations overG. A groupGis equationally noetherian if…”
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Localization, metabelian groups, and the isomorphism problem by Baumslag, Gilbert, Mikhailov, Roman, Orr, Kent

“…If G and H are finitely generated, residually nilpotent metabelian groups, H is termed para-G if there is a homomorphism of G into H which induces an…”
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A Problem of Stallings on the Direct Square of a Free Group by Baumslag, Gilbert

“…Let $F$ be a free group of finite rank; let $\Delta(F)$ denote the diagonal subgroup of $F \times F$, and let $A$ and $B$ be finitely presented subgroups of $F…”
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A new look at finitely generated metabelian groups by Baumslag, Gilbert, Mikhailov, Roman, Orr, Kent E

“…A group is metabelian if its commutator subgroup is abelian. For finitely generated metabelian groups, classical commutative algebra, algebraic geometry and…”
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Finite presentation of fibre products of metabelian groups by Baumslag, Gilbert, Bridson, Martin R., Holt, Derek F., Miller III, Charles F.

“…We show that if Γ is a finitely presented metabelian group, then the “untwisted” fibre product or pull-back P associated to any short exact sequence 1→ N→ Γ→…”
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Parallel poly-pushdown groups by Baumslag, Gilbert, Shapiro, Michael, Short, Hamish

“…We define a class of groups based on parallel computations by pushdown automata. This class generalizes automatic groups. It includes the fundamental groups of…”
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Subgroups of Direct Products of Free Groups by Baumslag, Gilbert, Roseblade, James E.

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FINITELY PRESENTED SUBGROUPS OF AUTOMATIC GROUPS AND THEIR ISOPERIMETRIC FUNCTIONS by BAUMSLAG, GILBERT, BRIDSON, MARTIN R., MILLER III, CHARLES F., SHORT, HAMISH

“…We describe a general technique for embedding certain amalgamated products into direct products. This technique provides us with a way of constructing a host…”
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Groups with the Same lower Central Sequence as a Relatively Free Group. II. Properties by Baumslag, Gilbert

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A Finitely Presented Metabelian Group with a Free Abelian Derived Group of Infinite Rank by Baumslag, Gilbert

“…An example is given of a 3-generator, 3-relator group whose derived group is a free abelian group of infinite rank…”
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