Results 111 to 120 of about 228,669 (269)
The Subgroups of the Quaternary Abelian Linear Group [PDF]
, 1914 Howard H. Mitchell
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From the conformal anomaly to the Virasoro algebra
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract The conformal anomaly and the Virasoro algebra are fundamental aspects of two‐dimensional conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an axiomatization of the conformal anomaly in terms of real determinant lines, one‐dimensional vector spaces
Sid Maibach, Eveliina Peltola
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The abelianizations of Weyl groups of root systems extended by abelian groups
Journal of Algebra, 2008 AbstractWe investigate the class of root systems R obtained by extending an irreducible root system by a torsion-free group G. In this context there is a Weyl group W and a group U with the presentation by conjugation. We show under additional hypotheses that the kernel of the natural homomorphism U→W is isomorphic to the kernel of Uab→Wab, where Uab ...
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Limits in compact Abelian groups
Topology and its Applications, 2006 Let X be compact abelian group and G its dual (a discrete group). If B is an infinite subset of G, let C_B be the set of all x in X such that converges to 1. If F is a free filter on G, let D_F be the union of all the C_B for B in F. The sets C_B and D_F are subgroups of X. C_B always has Haar measure 0, while the measure of D_F depends on F.
Kenneth Kunen, Joan E. Hart
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On a variation of Sands' method
International Journal of Mathematics and Mathematical Sciences, 1986 A subset of a finite additive abelian group G is a Z-set if for all a∈G, na∈G for all n∈Z. The group G is called Z-good if in every factorization G=A⊕B, where A and B are Z-sets at least one factor is periodic. Otherwise G is called Z-bad.
Evelyn E. Obaid
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Essentially tight bounds for rainbow cycles in proper edge‐colourings
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract An edge‐coloured graph is said to be rainbow if no colour appears more than once. Extremal problems involving rainbow objects have been a focus of much research over the last decade as they capture the essence of a number of interesting problems in a variety of areas.
Noga Alon +4 more
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DIAGRAMS OF AN ABELIAN GROUP [PDF]
Bulletin of the Australian Mathematical Society, 2009 AbstractIn this paper, we characterize quadratic number fields possessing unique factorization in terms of the power cancellation property of torsion-free rank-two abelian groups, in terms of Σ-unique decomposition, in terms of a pair of point set topological properties of Eilenberg–Mac Lane spaces, and in terms of the sequence of rational primes.
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Some remarks on regular subgroups of the affine group [PDF]
International Journal of Group Theory, 2012 Let $V$ be a vector space over a field $F$ of characteristic $pgeq 0$ and let $T$ be a regular subgroup of the affine group $AGL(V)$. In the finite dimensional case we show that, if $T$ is abelian or $p>0$, then $T$ is unipotent. For $T$ abelian, pushing
M. Chiara Tamburini Bellani
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On cardinal numbers related with a compact abelian group [PDF]
, 1943 Shizuo Kakutani
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