We establish a surprising correspondence between groups definable in o-minimal structures and linear algebraic groups, the nilpotent case. It turns out that context, like for finite nilpotency is equivalent to normalizer property or uniqueness of Sylow subgroups, provided maximal normal torsion-free subgroup nilpotent. As consequence, we show decompositions prove Lie group an expansion reals if...

This paper presents a complete statistical speech synthesizer for Myanmar which includes a syllable segmenter, text normalizer, grapheme-to-phoneme convertor, and an HMM-based speech synthesis engine. We believe this is the first such system for the Myanmar language. We performed a thorough human evaluation of the synthesizer relative to human and re-synthesized baselines. Our results show that...

We prove that there exists an integer p0 such that X split (p)(Q) is made of cusps and CM-points for any prime p > p0. Equivalently, for any non-CM elliptic curve E over Q and any prime p > p0 the image of the Galois representation ρE,p is not contained in the normalizer of a split Cartan subgroup. This gives a partial answer to an old question of Serre.

PSOA2Prolog consists of a multi-step source-to-source normalizer followed by a mapper to a pure (Horn) subset of ISO Prolog. We show the semantics preservation of the steps. Composing PSOA2Prolog and XSB Prolog, a fast Prolog engine, we achieved a novel instantiation of our PSOATransRun framework. We evaluated this interoperation and implementation technique with a suite of 30 test cases using ...

This note shows how to construct a representation of the automorphic extension G of the simple group S = O 8 (5) by a symmetric group on three points, together with an embedding of the normalizer H of an O 8 (2) type subgroup of O + 8 (5). As an application, it is shown that the permutation representation of G on the cosets of H has a base of length two. This question arose in [BGS11].

Tokenization is a necessary and non-trivial step in natural language processing. In the case of Arabic, where a single word can comprise up to four independent tokens, morphological knowledge needs to be incorporated into the tokenizer. In this paper we describe a rule-based tokenizer that handles tokenization as a full-rounded process with a preprocessing stage (white space normalizer), and a ...

In this paper, we investigate suborbital graphs $G_{u,n}$ of the normalizer $\Gamma_B(N)$ $\Gamma_0(N)$ in $PSL(2,\mathbb{R})$ for $N= 2^\alpha 3^\beta$, where $\alpha=0,2,4,6$ and $\beta =1,3$. each these cases, becomes a triangle group graph arising from action contains hexagonal circuits. order to obtain graphs, first define an imprimitive $\Gamma _B(N)$ on $\widehat{\mathbb{Q}}$ using $H_B(...

Let Γ be an extended tilde geometry of rank n > 2 such that there exists a 1-covering γ : Γ → Φ where Φ is a c.Cn−1-geometry with orders 1, 2, . . . , 2. Suppose that the normalizer in Aut(Γ ) of the deck group of γ acts flag-transitively on Γ . We prove that, under these hypotheses, only three possibilities exist for the universal cover of Γ . c © 2007 Elsevier Ltd. All rights reserved.

We give examples of non-amenable ICC groups Γ with the Haagerup property, weakly amenable with constant Λcb(Γ) = 1, for which we show that the associated II1 factors L(Γ) are strongly solid, i.e. the normalizer of any diffuse amenable subalgebra P ⊂ L(Γ) generates an amenable von Neumann algebra. Nevertheless, for these examples of groups Γ, L(Γ) is not isomorphic to any interpolated free group...

We give examples of non-amenable ICC groups Γ with the Haagerup property, weakly amenable with constant Λcb(Γ) = 1, for which we show that the associated II1 factors L(Γ) are strongly solid, i.e. the normalizer of any diffuse amenable subalgebra P ⊂ L(Γ) generates an amenable von Neumann algebra. Nevertheless, for these examples of groups Γ, L(Γ) is not isomorphic to any interpolated free group...