The unbounded dead-end depth propertie is not a group invariant

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Examples of retracts in a free group that are not the fixed subgroup of any group of automorphisms

Let F be a free group of rank at least three. We show that some retracts of F previously studied by Martino-Ventura are not equal to the fixed subgroup of any group of automorphisms of F. This shows that, in F, there exist subgroups that are equal to the fixed subgroup of some set of endomorphisms but are not equal to the fixed subgroup of any set of automorphisms. Moreover, we determine the Galois monoids of these retracts, where, by the Galois monoid of a subgroup H of F, we mean the monoid consisting of all endomorphisms of F that fix H.

The automorphism group of a free-by-cyclic group in rank 2

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Growth of positive words and lower bounds of the growth rate for Thompson's group (F)p

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Computational explorations in Thompson's group F

Here we describe the results of some computational explorations in Thompson's group F. We describe experiments to estimate the cogrowth of F with respect to its standard finite generating set, designed to address the subtle and difficult question whether or not Thompson's group is amenable. We also describe experiments to estimate the exponential growth rate of F and the rate of escape of symmetric random walks with respect to the standard generating set.

Combinatorial and metric properties of Thompson's group T

We discuss metric and combinatorial properties of Thompson's group T, such as the normal forms for elements and uniqueness of tree pair diagrams. We relate these properties to those of Thompson's group F when possible, and highlight combinatorial differences between the two groups. We define a set of unique normal forms for elements of T arising from minimal factorizations of elements into convenient pieces. We show that the number of carets in a reduced representative of T estimates the word length, that F is undistorted in T, and that cyclic subgroups of T are undistorted. We show that every element of T has a power which is conjugate to an element of F and describe how to recognize torsion elements in T.

On group strategy-proof mechanisms for a many-to-one matching model

For the many-to-one matching model in which firms have substitutable and quota q-separable preferences over subsets of workers we show that the workers-optimal stable mechanism is group strategy-proof for the workers. In order to prove this result, we also show that under this domain of preferences (which contains the domain of responsive preferences of the college admissions problem) the workers-optimal stable matching is weakly Pareto optimal for the workers and the Blocking Lemma holds as well. We exhibit an example showing that none of these three results remain true if the preferences of firms are substitutable but not quota q-separable.

When does universal peace prevail? Secession and group formation in rent seeking contests and policy conflicts

This paper analyzes secession and group formation in a general model of contest inspired by Esteban and Ray (1999). This model encompasses as special cases rent seeking contests and policy conflicts, where agents lobby over the choice of a policy in a one-dimensional policy space. We show that in both models the grand coalition is the efficient coalition structure and agents are always better off in the grand coalition than in a symmetric coalition structure. Individual agents (in the rent seeking contest) and extremists (in the policy conflict) only have an incentive to secede when they anticipate that their secession will not be followed by additional secessions. Incentives to secede are lower when agents cooperate inside groups. The grand coalition emerges as the unique subgame perfect equilibrium outcome of a sequential game of coalition formation in rent seeking contests.

Contribuição para o conhecimento das doenças do grupo tifo exantemático no Brasil

In this work, the author considers that in Brazil, there exist three forms of the disease of the Exanthematic Typhus group, that have been well studied: Neotropic Exanthematic Typhus, Murine Typhus and "Q" fever. The first of these forms has existed in this country, perhaps, for over five hundred years. He says that modern antibiotic, Aureomycin, Chloromycetin and, principally, Terramcin have resolved the problem of the therapeutic treatment of the disease. The modern insecticides, D. D. T., Gammexane and Toxafeno have resolved the prophylactic problem. The author studies minutely the question of denomination, showing, by means of drawing and history, the origin of the diseases, both Norte American and Brazilian. The name Neotropic Exanthematic Typhus (in BRazil, Colombia, United States or India) should substitute the erroneous anme "Spotted Fever"; the disease is exanthematic, a very different thing. He formulates two hypotheses about these diseases: first - it passed from the neotropic to the neartic region, where it acquired individual properties; second - they developed independently in a more rmeote epoch, acquiring each its own characteristics. The disease is today rather of the neotropic than of the neartic region. As it also exists in India it cannot be named American exanthematic Typhus. The author finds it unnecessary to change the name to "Rikettsioses"; we do not call bacillar dysentery "Schigeloses"or malignant edema "Chlostridiose". The name exanthematic typhus is classic, precise, scientific, expressive and the denomination "neotropical" completes the localisation. The author thinks that all the diseases of the exanthematic typhus group, in the world had a simple primitive common origin. At first, the rickettsias or the virus had a free life, perhaps in the waters of the marshes or grass-lands. Later, in the struggle for life, came the parasitism of the plants. They became fitoparatifs. The mode of life...

The density of injective endomorphisms of a free group

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Organisational structure, communication and group ethics

This paper investigates experimentally how organisational decision processes affect the moral motivations of actors inside a firm that must forego profits to reduce harming a third party. In a "vertical" treatment, one insider unilaterally sets the harm-reduction strategy; the other can only accept or quit. In a "horizontal" treatment, the insiders decide by consensus. Our 2-by-2 design also controls for communication effects. In our data, communication makes vertical firms more ethical; voice appears to mitigate "responsibility-alleviation" in that subordinates with voice feel responsible for what their firms do. Vertical firms are then more ethical than the horizontal firms for which our bargaining data reveal a dynamic form of responsibility-alleviation and our chat data indicate a strong "insider-outsider" effect.

Simulium argentiscutum sp. nov. (Diptera: simuliidae), a member of the S. amazonicum-group of species; description of adults, pupa and larva

The adult, pupal and larval morphology of S. argentiscutum sp. nov., a member of the S. amazonicum-group, is compared with S. amazonicum Goeldi and its distribution, biology and medical importance are discussed. S. argentiscutum is one the most important anthropophilic species in the S. amazonicum-group as it is responsible, together with S. amazonicum, for the transmission of Mansonella ozzardi in Brazil.

The microps group of Lutzomyia França with descriptions of two new species from South America (Diptera: Psychodidae: Phlebotominae)

Six species of phlebotomine sand flies in the genus Lutzomyia França from South America are included in the newly-created species group microps. References and illustrations of the species are given, including descriptions of two new forms - L. nematoducta n.sp., male and female from northern Brazil, and l. preclara n.sp. male from Colombia and Peru. The males in the species group microps are keyed.