Results 121 to 130 of about 176,865 (291)
Graph Labelings in Elementary Abelian 2-Groups
Tokyo Journal of Mathematics, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Elementary theory of free non-abelian groups
Journal of Algebra, 2006 AbstractWe prove that any two non-abelian free groups have the same elementary theory and that this theory is decidable. These results solve two questions that were raised by Tarski in 1945.
Olga Kharlampovich, Alexei Myasnikov
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Strong subgroup chains and the Baer-Specker group
, 2008 Examples are given of non-elementary properties that are preserved under C-filtrations for various classes C of Abelian groups. The Baer-Specker group is never the union of a chain of proper subgroups with cotorsionfree quotients.
Kolman, Oren
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A Dichotomy Theorem for Γ‐Switchable H‐Colouring on m‐Edge‐Coloured Graphs
Journal of Graph Theory, Volume 110, Issue 2, Page 200-208, October 2025.ABSTRACT Let G be a graph in which each edge is assigned one of the colours 1 , 2 , … , m, and let Γ be a subgroup of S m. The operation of switching at a vertex x of G with respect to an element π of Γ permutes the colours of the edges incident with x according to π.
Richard Brewster +2 more
wiley +1 more source
The Quotient Criterion for Syzygies in Equivariant Cohomology for Elementary Abelian 2-Group Actions
La Matematica, 2020 Sergio Chaves
semanticscholar +1 more source
Fortschritte der Physik, Volume 73, Issue 9-10, October 2025.Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis +3 more
wiley +1 more source
Ermakov's Superintegrable Toy and Nonlocal Symmetries
Symmetry, Integrability and Geometry: Methods and Applications, 2005 We investigate the symmetry properties of a pair of Ermakov equations. The system is superintegrable and yet possesses only three Lie point symmetries with the algebra sl(2, R).
P.G.L. Leach +3 more
doaj
Elementary abelian 2-group actions on flag manifolds and applications [PDF]
, 1998 Goutam Mukherjee, Parameswaran Sankaran
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Irredundant bases for soluble groups
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3013-3023, October 2025.Abstract Let Δ$\Delta$ be a finite set and G$G$ be a subgroup of Sym(Δ)$\operatorname{Sym}(\Delta)$. An irredundant base for G$G$ is a sequence of points of Δ$\Delta$ yielding a strictly descending chain of pointwise stabilisers, terminating with the trivial group. Suppose that G$G$ is primitive and soluble. We determine asymptotically tight bounds for
Sofia Brenner +2 more
wiley +1 more source
Unusual elementary axiomatizations for abelian groups
, 2019 One of the most studied algebraic structures with one operation is the Abelian group, which is defined as a structure whose operation satisfies the associative and commutative properties, has identical element and every element has an inverse element. In this article, we characterize the Abelian groups with other properties and we even reduce it to two
Tafur, Haydee Jiménez +2 more
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