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On n-Cyclic Groups

Bulletin of the Malaysian Mathematical Sciences Society, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Reza Ashrafi, Elaheh Haghi
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CYCLICALLY PRESENTED GROUPS AND RESULTANTS

International Journal of Algebra and Computation, 2010
We consider the family of irreducible cyclically presented groups on n generators whose generating word (in the standard rewrite) has length at most 15. Using the software packages KBMAG, quotpic and MAGMA, together with group and number theoretic methods, we show that if 6 ≤ n ≤ 100 then the group is non-trivial.
J. E. Cremona, Martin Edjvet
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Groups with Cyclic Outer Automizers

Algebra Colloquium, 2014
We consider groups G such that NG(H)/HCG(H) is cyclic for all H ≤ G. More specifically, we characterise locally nilpotent and supersoluble groups with this property.
CELENTANI, MARIA ROSARIA   +2 more
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ON A CLASS OF CYCLICALLY PRESENTED GROUPS

International Journal of Algebra and Computation, 2004
This paper considers the problem for what n and ω is the cyclically presented group Gn(ω) irreducible and trivial and studies the case when [Formula: see text] and n≥5.
Martin Edjvet, Paul Hammond
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F-partitions of Cyclic Groups

Applicable Algebra in Engineering, Communication and Computing, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thomas H. E. Ericson   +3 more
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On the Factorization of Cyclic Groups

Indagationes Mathematicae (Proceedings), 1953
This article also appeared in Indagationes mathematicae.
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Groups with a Cyclic Group as Lattice-Homomorph

The Annals of Mathematics, 1948
Nach einleitenden Sätzen über die homomorphe Abbildung von Untergruppen wird der Satz bewiesen: Es seien \(L(G)\) und \(L(H)\) die Verbände der Untergruppen zweier Gruppen \(G\) and \(H\). \(G\) sei endlich, \(H\) zyklisch von der Ordnung \(\prod_{i=1}^m p_i^{a_i}\). Es sei \(f\) ein Homomorphismus von \(L(G)\) auf \(L(H)\).
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Cyclically Presented Groups Embedded in One-Relator Products of Cyclic Groups

Proceedings of the American Mathematical Society, 1993
We consider the groups defined by the presentations \[ ⟨ a
CAMPBELL, CM   +3 more
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