Results 1 to 10 of about 18,601,753 (162)
GVZ-groups, Flat groups, and CM-Groups [PDF]
We show that a group is a GVZ-group if and only if it is a flat group. We show that the nilpotence class of a GVZ-group is bounded by the number of distinct degrees of irreducible characters. We also show that certain CM-groups can be characterized as GVZ-groups whose irreducible character values lie in the prime field.
Shawn T. Burkett, Mark L. Lewis
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Group Connectivity and Group Coloring: Small Groups versus Large Groups [PDF]
A well-known result of Tutte says that if $\Gamma$ is an Abelian group and $G$ is a graph having a nowhere-zero $\Gamma$-flow, then $G$ has a nowhere-zero $\Gamma'$-flow for each Abelian group $\Gamma'$ whose order is at least the order of $\Gamma$. Jaeger, Linial, Payan, and Tarsi observed that this does not extend to their more general concept of ...
Langhede, Rikke, Thomassen, Carsten
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An Information Flow Model for Conflict and Fission in Small Groups [PDF]
Data from a voluntary association are used to construct a new formal model for a traditional anthropological problem, fission in small groups. The process leading to fission is viewed as an unequal flow of sentiments and information across the ties in a ...
Konstantin Avrachenkov +2 more
semanticscholar +1 more source
These notes correspond rather accurately to the translation of the lectures given at the Fifth Mexican School of Particles and Fields, held in Guanajuato, Gto., in December~1992.
N. Reshetikhin, Theo Johnson-Freyd
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OrthoMCL: identification of ortholog groups for eukaryotic genomes.
The identification of orthologous groups is useful for genome annotation, studies on gene/protein evolution, comparative genomics, and the identification of taxonomically restricted sequences.
Li Li, C. Stoeckert, D. Roos
semanticscholar +1 more source
Test groups for Whitehead groups
We consider the question of when the dual of a Whitehead group is a test group for Whitehead groups. This turns out to be equivalent to the question of when the tensor product of two Whitehead groups is Whitehead. We investigate what happens in different models of set theory.
Eklof, Paul C. +2 more
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POLYCYCLIC GROUPS, ANALYTIC GROUPS AND ALGEBRAIC GROUPS
A group \(G\) is poly-(infinite cyclic) if it has a finite subnormal series \(G=G_n\geq G_{n-1}\geq\cdots\geq G_1\geq G_0=1\) such that each quotient \(G_i/G_{i-1}\) is infinite cyclic. A basis for a poly-(infinite cyclic) group is a sequence of elements \((x_1,\dots,x_n)\) such that \(G_i=(x_1,\dots,x_i)\).
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We define semihyperbolicity, a condition which describes non-positive curvature in the large for an arbitrary metric space. This property is invariant under quasi-isometry. A finitely generated group is said to be weakly semihyperbolic if when endowed with the word metric associated to some finite generating set it is a semihyperbolic metric space ...
Alonso, J, Bridson, M
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Let \(p\) be a prime integer. A \(Cpp\)-group is a finite group such that \(p\) divides its order and the centralizer of each \(p\)-element is a \(p\)-group. The \(C22\)- and \(C33\)-groups were investigated and described by Burnside, Suzuki, Feit, Thompson, and Stewart. The authors of the present paper classify the \(C55\)-groups.
DOLFI, SILVIO, E. Jabara, M. S. Lucido
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