On classification of groups generated by 3-state automata over a 2-letter alphabet

We show that the class of groups generated by 3-state automata over a 2-letter alphabet has no more than 122 members. For each group in the class we provide some basic information, such as short relators, a few initial values of the growth function, a few initial values of the sizes of the quotients by level stabilizers (congruence quotients), and hystogram of the spectrum of the adjacency operator of the Schreier graph of the action on level 9. In most cases we provide more information, such as whether the group is contracting, self-replicating, or (weakly) branch group, and exhibit elements of infinite order (we show that no group in the class is an infinite torsion group). A GAP package, written by Muntyan and Savchuk, was used to perform some necessary calculations. For some of the examples, we establish that they are (virtually) iterated monodromy groups of post-critically finite rational functions, in which cases we describe the functions and the limit spaces. There are exactly 6 finite groups in the class (of order no greater than 16), two free abelian groups (of rank 1 and 2), and only one free nonabelian group (of rank 3). The other examples in the class range from familiar (some virtually abelian groups, lamplighter group, Baumslag-Solitar groups BS(1±3), and a free product C2 ∗ C2 ∗ C2) to enticing (Basilica group and a few other iterated monodromy groups)

Branch Rings, Thinned Rings, Tree Enveloping Rings

We develop the theory of ``branch algebras'', which are infinite-dimensional associative algebras that are isomorphic, up to taking subrings of finite codimension, to a matrix ring over themselves. The main examples come from groups acting on trees. In particular, for every field k we construct a k-algebra K which (1) is finitely generated and infinite-dimensional, but has only finite-dimensional quotients; (2) has a subalgebra of finite codimension, isomorphic to $M_2(K)$; (3) is prime; (4) has quadratic growth, and therefore Gelfand-Kirillov dimension 2; (5) is recursively presented; (6) satisfies no identity; (7) contains a transcendental, invertible element; (8) is semiprimitive if k has characteristic $\neq2$; (9) is graded if k has characteristic 2; (10) is primitive if k is a non-algebraic extension of GF(2); (11) is graded nil and Jacobson radical if k is an algebraic extension of GF(2).Comment: 35 pages; small changes wrt previous versio

Amenability of groups and GG-sets

This text surveys classical and recent results in the field of amenability of groups, from a combinatorial standpoint. It has served as the support of courses at the University of G\"ottingen and the \'Ecole Normale Sup\'erieure. The goals of the text are (1) to be as self-contained as possible, so as to serve as a good introduction for newcomers to the field; (2) to stress the use of combinatorial tools, in collaboration with functional analysis, probability etc., with discrete groups in focus; (3) to consider from the beginning the more general notion of amenable actions; (4) to describe recent classes of examples, and in particular groups acting on Cantor sets and topological full groups

Effective-Range Expansion of the Neutron-Deuteron Scattering Studied by a Quark-Model Nonlocal Gaussian Potential

The S-wave effective range parameters of the neutron-deuteron (nd) scattering are derived in the Faddeev formalism, using a nonlocal Gaussian potential based on the quark-model baryon-baryon interaction fss2. The spin-doublet low-energy eigenphase shift is sufficiently attractive to reproduce predictions by the AV18 plus Urbana three-nucleon force, yielding the observed value of the doublet scattering length and the correct differential cross sections below the deuteron breakup threshold. This conclusion is consistent with the previous result for the triton binding energy, which is nearly reproduced by fss2 without reinforcing it with the three-nucleon force.Comment: 21 pages, 6 figures and 6 tables, submitted to Prog. Theor. Phy

Investigation of the erosive potential of sour novelty sweets

Provides a background about the link between acidic beverages and dental erosion. Discusses the potential risk of developing dental erosion upon the frequent consumption of novelty sweets. Provides information which could be used by dental personnel in counselling patients who consume novelty sweets or at risk of developing dental erosion. Abstract Background The expansion of the novelty sweets market in the UK has major potential public health implications in children and young adults as they may cause dental erosion. Objective To investigate the erosive potential of the novelty sweets in term of their physiochemical properties and amount of enamel loss. Subjects and methods The pH of a variety of novelty sweets was tested in vitro using a pH meter and the neutralisable acidity was assessed by titrating the sweets against 0.1M NaOH. The viscosity of the novelty sweets was measured using a rotational viscometer. The wettability of enamel by each sweet was measured using dynamic contact angle analyser. Enamel loss was assessed using contact profilometry. Results The pH ranged from 1.8–3.2, the neutralisable acidity ranged from 9–201 ml of 0.1 NaOH. The viscosity of the novelty sweets that come in liquid form ranged from 2–594 mPa s. The surface enamel erosion ranged from 1.95–15.77 μm and from 2.5–17.6 μm with and without immersing in saliva for 1 hour before immersing in acidic solution respectively. The amount of subsurface enamel loss was ranged from 0.75 to 2.3 μm following ultrasonication at 0 min of acidic attack and from 0.23 to 0.85 μm at 60 minutes of acidic attack while immersed in saliva. The contact angle between enamel surface and four sweet was less than the angle formed between the orange juice and the enamel which caused more wettability of enamel. Conclusion The pH is lower than the critical value for enamel erosion (5.5), high neutralisable acidity and high sugar content strongly suggest that these sweets may cause significant amount of dental erosion clinically. In addition, the degree of wettability of enamel by solution is an important factor to consider in determining the enamel loss caused by acidic solution. Immediate tooth brushing would cause further enamel loss as a result of the mechanical removal of softened enamel. However, it has been suggested that postponing brushing after erosive attack should be reconsidered

Freqüências relativas dos fenótipos eritrocitários ABO e Lewis na doença de Jorge Lobo Frequencies of ABO and Lewis blood groups in Jorge Lobo's disease

A doença de Jorge Lobo é uma micose de evolução crônica, causada pelo Lacazia loboi. Os mecanismos envolvidos na suscetibilidade/resistência do hospedeiro frente ao agente não estão ainda elucidados, dentre eles encontra-se a constituição genética. Portanto, o objetivo deste trabalho é avaliar a distribuição dos grupos sangüíneos ABO e Lewis de pacientes com doença de Jorge Lobo em relação à população geral. Foram analisados 13 pacientes provenientes do estado do Acre, 60 indivíduos da região de Bauru (SP) não acometidos pela doença em estudo (grupo controle Lewis) e 2.673 doadores do Banco de Sangue da cidade de Rio Branco (AC) como grupo controle ABO. As presenças dos antígenos eritrocitários foram determinadas pela reação de aglutinação em tubo através dos soros anti-AB, anti-A e anti-B para o fenótipo ABO e dos soros anti-Lewis a e Lewis b para fenotipagem Lewis. As freqüências fenotípicas Lewis e ABO nos pacientes e nos controles são, respectivamente: Le (a- b+) = 54,0% X 72,0%, Le (a+ b-) = 15,0% X 6,0%, Le (a- b-) = 31,0% X 22,0% ; A =15,4% X 33,6%, B = 30,8% X 10,8%, O = 53,8% X 52,9%, AB = 0 X 2,7%. Embora não tenhamos encontrado resultados estatisticamente significantes, nossos achados sugerem existir suscetibilidade à doença de Jorge Lobo em indivíduos com fenótipo B e com menor freqüência fenotípica Lewis b, conferindo assim um grau de importância epidemiológica como grupo de risco naquele meio ambiente.<br>Jorge Lobo's disease is a mycosis with chronic evolution caused by the fungus Lacazia loboi. The mechanisms involved in host resistance and susceptibility to the agent, including aspects relating to the genetic background, are still not clear. The objective of the present study, therefore, is to evaluate the ABO and Lewis blood group distributions in Jorge Lobo's disease patients compared to the general population. Thirteen patients from Acre state, 60 healthy individuals (Lewis control group) from the region of Bauru (SP) and 2673 blood donors from the blood bank of the city of Rio Branco (Ac) were analyzed. Presence of erythrocitic antigens was determined by the tube agglutination reaction using anti-AB, anti-A and anti-B sera for ABO phenotyping. Anti Lewis a and anti Lewis b sera were used for Lewis phenotyping. The Lewis and ABO phenotypic frequencies in patients and controls were respectively: Le (a- b+) = 54.0% vs. 72.0%; Le (a+ b-) = 15.0% vs. 6.0%; Le (a- b-) = 31.0% vs. 22.0%; A =15.4% vs. 33.6%; B = 30.8% vs. 10.8%; O = 53.8% vs. 52.9%; AB = 0 vs. 2.7%. Although the statistical analysis in this study did not evidence any significant difference, our results suggest that phenotype B and Lewis b, at a lesser frequency, could be associated with susceptibility of Jorge Lobo's disease thus demonstrating that this population has a higher risk of developing this mycosis

Electron microscopic detection of salivary alpha-amylase in the pellicle formed in situ.

The study aimed to define the in vitro secondary caries inhibiting potential of restorative materials currently used in dental practice. Class V restorations were prepared in extracted human third molars and immersed in a demineralizing solution (lactic acid, pH 4.5) at 37\ub0C for 2 days to simulate secondary caries formation. The bonding and the restorative systems tested in the study were: Scotchbond 1+Z 250 (Group A), Scotchbond 1+F 2000 (Group B), ABF+APX (Group C), ABF+F2000 (Group D). Perimarginal dentine, immediately close to the margin of the restoration, and exposed dentine, at approximately 0.5 mm from the margins of the restoration, after exposure to the acid solution, were investigated; protected dentine, at approximately 4 mm from the margin in a varnish-covered area, was analysed as control. Polarized light microscopy and contact transverse microradiography (TMR) were employed. The output parameters were lesion shape and size (depth in &#956;m) of the exposed dentine, dentine mineral volume%, and integrated mineral loss (Delta Z, in %vol &#956;m) of the lesions. Compomers (Groups B and D) showed a thinner demineralization of the outer lesions, a less demineralization along the perimarginal dentine (inner lesion) and more caries inhibition zones or CIZs (Delta Z positive values) compared to composites (Groups A and C). In conclusion, Groups B and D materials seemed to partially counteract the marginal demineralization induced by an acid solution and favourably influence the formation of CIZs along the restorations. On the contrary, composites did not show a protective effect, probably due to an insufficient marginal seal and the lack of fluoride releas

On and Off: Epigenetic Regulation of C. albicans Morphological Switches

The human fungal pathogen Candida albicans is a dimorphic opportunistic pathogen that colonises most of the human population without creating any harm. However, this fungus can also cause life-threatening infections in immunocompromised individuals. The ability to successfully colonise different host niches is critical for establishing infections and pathogenesis. C. albicans can live and divide in various morphological forms critical for its survival in the host. Indeed, C. albicans can grow as both yeast and hyphae and can form biofilms containing hyphae. The transcriptional regulatory network governing the switching between these different forms is complex but well understood. In contrast, non-DNA based epigenetic modulation is emerging as a crucial but still poorly studied regulatory mechanism of morphological transition. This review explores our current understanding of chromatin-mediated epigenetic regulation of the yeast to hyphae switch and biofilm formation. We highlight how modification of chromatin structure and non-coding RNAs contribute to these morphological transitions