نتایج جستجو برای: pairwise non commuting elements

تعداد نتایج: 1583407  

2008
Michael Thaddeus

By normalizing a component of the space of commuting pairs of elements in a reductive Lie group G, and the corresponding space for the Langlands dual group, we construct pairs of hyperkähler orbifolds which satisfy the conditions to be mirror partners in the sense of Strominger-Yau-Zaslow. The same holds true for commuting quadruples in a compact Lie group. The Hodge numbers of the mirror partn...

2014
Frederick R. Cohen V. Reiner

The purpose of this paper is to introduce a new method of “stabilizing” spaces of homomorphisms Hom(π,G) where π is a certain choice of finitely generated group and G is a compact Lie group. The main results apply to the space of all ordered n-tuples of pairwise commuting elements in a compact Lie group G, denoted Hom(Zn, G), by assembling these spaces into a single space for all n ≥ 0. The res...

1996
C. Kenneth Fan

Let W be a simply-laced Coxeter group with generating set S, and let Wc denote the subset consisting of those elements whose reduced expressions have no substrings of the form sts for any non-commuting s; t 2 S. We give a root system characterization of Wc, and in the case where W corresponds to a nite Weyl group, show that Wc is a union of Spaltenstein-Springer-Steinberg cells. The latter is v...

‎‎Let $R$ be a non-commutative ring with unity‎. ‎The commuting graph‎ of $R$ denoted by $Gamma(R)$‎, ‎is a graph with a vertex set‎ ‎$Rsetminus Z(R)$ and two vertices $a$ and $b$ are adjacent if and only if‎ $ab=ba$‎. ‎In this paper‎, ‎we investigate non-commutative rings with unity of order $p^n$ where $p$ is prime and $n in lbrace 4,5 rbrace$‎. It is shown that‎, ‎$Gamma(R)$ is the disjoint ...

1994
DAVID LARMAN JIRI MATOUSEK JANOS PACH JENO TOROCSIK

Given a family of n convex compact sets in the plane, one can always choose n of them which are either pairwise disjoint or pairwise intersecting. On the other hand, there exists a family of n segments in the plane such that the maximum size of a subfamily with pairwise disjoint or pairwise intersecting elements in n*"* ^ n-.

Let $G$ be a non-abelian finite group. In this paper, we prove that $Gamma(G)$ is $K_4$-free if and only if $G cong A times P$, where $A$ is an abelian group, $P$ is a $2$-group and $G/Z(G) cong mathbb{ Z}_2 times mathbb{Z}_2$. Also, we show that $Gamma(G)$ is $K_{1,3}$-free if and only if $G cong {mathbb{S}}_3,~D_8$ or $Q_8$.

A. Erfanian A. Jafarzadeh B. Tolue

Let g be a fixed element of a finite group G. We introduce the g-noncommuting graph of G whose vertex set is whole elements of the group G and two vertices x,y are adjacent whenever [x,y] g  and  [y,x] g. We denote this graph by . In this paper, we present some graph theoretical properties of g-noncommuting graph. Specially, we investigate about its planarity and regularity, its clique number a...

2016
Tobias Bauer Saskia Trump Naveed Ishaque Loreen Thürmann Lei Gu Mario Bauer Matthias Bieg Zuguang Gu Dieter Weichenhan Jan-Philipp Mallm Stefan Röder Gunda Herberth Eiko Takada Oliver Mücke Marcus Winter Kristin M Junge Konrad Grützmann Ulrike Rolle-Kampczyk Qi Wang Christian Lawerenz Michael Borte Tobias Polte Matthias Schlesner Michaela Schanne Stefan Wiemann Christina Geörg Hendrik G Stunnenberg Christoph Plass Karsten Rippe Junichiro Mizuguchi Carl Herrmann Roland Eils Irina Lehmann

Epigenetic mechanisms have emerged as links between prenatal environmental exposure and disease risk later in life. Here, we studied epigenetic changes associated with maternal smoking at base pair resolution by mapping DNA methylation, histone modifications, and transcription in expectant mothers and their newborn children. We found extensive global differential methylation and carefully evalu...

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