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Relation Modules of Groups with Presentations in which Each Relator Involves Exactly Two Types of Generators

Journal of the London Mathematical Society, 1988
Let G be a group given by a presentation \(\) where the \(x_ i\) are distinct (not necessarily finite) sets of generators, and where each relator is cyclically reduced and involves generators from exactly two of the sets \(x_ i\). Such a presentation gives rise to a certain graph with vertex set I and edge set \[ E=\{(i,j);\quad i,j\in I,\quad there ...
Pride, Stephen J., Stöhr, Ralph
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Persistent generalized lymphadenopathy syndrome vs "AIDS"--unrelated malignant lymphoma: comparison of presenting clinical and laboratory findings in 88 patients. AIDS and Related Syndromes Study Group.

Tumori, 1989
The purpose of this report is to document and compare the presenting clinical and laboratory findings of 38 patients, all intravenous drug abusers, with pathologically documented persistent generalized lymphadenopathy (PGL), and of 50 patients with AIDS-unrelated malignant lymphoma (30 with Hodgkin's disease and 20 with non-Hodgkin's lymphoma).
U, Tirelli   +7 more
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Two-Generator Two-Relation Presentations for Special Linear Groups

1981
A finite group defined by n generators and m relations must have m ⩾ n. A finite group is said to have deficiency zero if it has a presentation with n generators and n relations. In 1907 Schur [13] proved important results showing that certain finite groups could not have deficiency zero presentations. Let SL(2, p) denote the group of 2 X 2 matrices of
C. M. Campbell, E. F. Robertson
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Subgroup Theorems for Groups Presented by Generators and Relations

The Annals of Mathematics, 1952
A problem that arises in every group is the determination of the structure of all subgroups contained in it. Early investigations of the special case of free groups culminated in the Reidemeister-Schreier theorem [1]2 which gives generators and relations for any subgroup of a group defined by generators and relations in terms of certain knowledge of ...
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Groups with Presentations in Which Each Defining Relator Involves Exactly Two Generators

Journal of the London Mathematical Society, 1987
Let G be a group given by a presentation with the set \({\mathfrak x}\) of generators and the set \({\mathfrak r}\) of defining relators; for a subset \({\mathfrak x}_ 0\) of \({\mathfrak x}\) denote by \({\mathfrak r}_ 0\) the subset of \({\mathfrak r}\) consisting of those relators that involve generators in \({\mathfrak x}_ 0\) only: let \(G_ 0\) be
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The diagrammatic asphericity of groups given by presentations in which each defining relator involves exactly two types of generators

Archiv der Mathematik, 1988
A presentation (X;R) of a group G is called diagrammatically aspherical (DA) if every identity sequence over it can be transformed to the empty sequence by the Peiffer operations of exchange and deletion alone, see \textit{I. M. Chiswell}, \textit{D. J. Collins} and \textit{J. Huebschmann} [Math. Z. 178, 1-36 (1981; Zbl 0443.20030)]. In the paper under
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COMPARING GEOSCIENCES-RELATED ENGAGEMENT GENERATED DURING AND AFTER THE USE OF MULTIPLE PEDAGOGICAL APPROACHES: ANIMATED VIDEOS, YOUTUBE, INTERACTIVE EDUCATIONAL GAMES, GROUP DISCUSSION AND POWERPOINT PRESENTATIONS

Geological Society of America Abstracts with Programs, 2022
Andrew Singh   +6 more
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