Fundamental group
Geography and Botany of Irreducible Symplectic 4-Manifolds with Abelian Fundamental Group
... For the remaining part of the section, we will take the second path we mentioned at the beginning to produce more manifolds. Here we build on the efforts of other authors ([49], [6]) set on the simply connected case. We ...
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The fundamental group and Galois coverings of hexagonal systems in 3 space
... the fundamental group of a hexag- onal system follows similar arguments to those developed for finite dimensional alge- bras given as quotients of quiver algebras, see [1, 5, 9, ...
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On the Fundamental Group of Plane Curve Complements
... define real equations. The black dotted line above is a line satisfying (WC2), and a topological disk could be chosen big enough to cover both the cusp and the vertical tangency. The ramification points face each other, ...
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On the Etale Fundamental Group of Schemes over the Natural Numbers
... With the notion of (covering space) finite ´ etale morphism in hand, all that remains to develop the ´ etale fundamental group of an N -scheme is to define what we mean by a “point”. Euclid was clear when ...
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Parallizable manifolds and the fundamental group
... In particular, the van- ishing of the Euler characteristic severely restricts the groups which can occur as fundamental groups of smooth closed parallelizable 4-manifolds.. In fact, for [r] ...
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Groups whose word problems are not semilinear
... generated group and WP ( G ) is the formal language of words defining the identity in ...nilpotent group that is not virtually abelian, the fundamental group of a finite volume hyperbolic ...
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COMPUTING BRAID GROUPS OF GRAPHS WITH APPLICATIONS TO ROBOT MOTION PLANNING
... braid group B(G, 2), first add to the band ¯ e × ˜ ¯ h the motions ε, τ ⊂ UD(T, 2) connecting the base configuration u × ˜ v to u × ˜ r, u × ˜ w, ...trivial fundamental group of the contractible band ...
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The Spectra of heterotic standard model vacua
... A formalism for determining the massless spectrum of a class of realistic heterotic string vacua is presented. These vacua, which consist of SU (5) holomorphic bundles on torus-fibered Calabi-Yau threefolds with ...
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Computationally-Fair Group and Identity-Based Key-Exchange
... are group key-exchange (GKE) and identity-based key-exchange (IBKE). Group key-exchange extends the standard two- party KE protocol to the multiple-party ...Burmester-Desmedet group key-exchange ...
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Uniformly exponential growth and mapping class groups of surfaces
... The main purpose of this note is to demonstrate that the mapping class group of an orientable surface with finitely generated fundamental group has uniformly exponential growth. This result is new ...
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The anosov theorem for infranilmanifolds with an odd-order abelian holonomy group
... almost-crystallographic group acts properly discontinuously on (the correspond- ing) G and the orbit space E \ G is ...a group E on a locally compact space X is said to be properly discontinuous, if for ...
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On Elastic Klein Bottle and Fundamental Groups
... The fundamental group of types of the de- formation retracts of the elastic Klein bottle is either a fundamental group of types of the geodesics or not and its folding may be the ...
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Realising fusion systems
... with group homomorphisms from K to ...The fundamental group G of the graph of groups can now be defined as the fundamental group of ...the fundamental group of the graph ...
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On the real quadratic fields with certain continued fraction expansions and fundamental units
... Dirichlet L−function. Dirichlet L−function is determined by Dirichlet character and zeta function. Also, discriminat D of the quadratic field Q( √ d) is equal to d if d is congruent to 1 modulo 4 and is equal to 4 if d ...
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The Combinatorial Geometry of Q-Gorenstein Quasi-Homogeneous Surface Singularities
... E. Ghys [Ghy87], and recently by F. Salein [Sal00]. The survey [BZ04] of Th. Bar- bot and A. Zeghib and the paper [Fra05] of Ch. Frances are good references for the reader interested in group actions on Lorentz ...
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HYPERBOLIC SPACE GROUPS FOUR SERIES WITH SIMPLICIAL DOMAINS
... In Section 3 we discuss the super groups with trunc simplices as fundamental domains, for each simplex series separately (see Figures 1, 6, 8, 10). Since all considered simplices have the same inner symmetry, ...
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The partition algebra and the Kronecker product (Extended Abstract)
... The paper is organised as follows. In Sections 2 and 3 we recall the combinatorics underlying the representation theories of the symmetric group and partition algebra. In Section 4 we show how to pass the ...
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The Fischer-Griess monster group (M) and quadratic prime generating polynomials
... Definition 4.2 (Class number): Is the order of the ideal class group of the number fields with discriminant d .When the class number of a ring of integers in a number field is 1, the ring corresponding to a given ...
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DYNAMICS OF CHANGES IN THE CONFESSIONAL CONSCIOUSNESS OF THE STUDENTS IN THE CONDITIONS OF EXPERIMENT
... An extremely important effect of group dy- namics should not go unnoticed. It is important in the effective confessional harmonization of students and is achieved by means of special- ized training – confessional ...
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Fundamental of Computing pdf
... The following measures of computing resources of a machine A on input x will be used throughout the course: Time: The greatest depth DAx of causal chains is the number of computation ste[r] ...
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