We study relations between quaternionic Riemannian manifolds admitting different types of symmetries. We show that any hyperKähler manifold admitting hyperKähler potential and triholomorphic action of S1 can be constructed from another hyperKähler manifold (of lower dimention) with an action of S1 which fixes one complex structure and rotates the other two and vice versa. On the other hand, the...

By the rank of a transitive permutation group we mean the number of orbits of the stabilizer of a point thus rank 2 means multiple transitivity. Interest is drawn to the simply transitive groups of "small" rank > 2 by the fact that every known finite simple group admits a representation as a primitive group of rank at most 5 while not all of these groups have doubly transitive representations. ...

We study Spin(9)-structures on 16-dimensional Riemannian manifolds and characterize the geometric types admitting a connection with totally skew-symmetric torsion.

In this paper, we prove that the modular curve X(11) over a field of characteristic 3 admits the Mathieu group M 11 as an automorphism group. We also examine some aspects of the geometry of the curve X(11) in characteristic 3. In particular, we show that every point of the curve is a point of inflection, the curve has 110 hyperflexes and there are no inflectional triangles and 144 inflectional ...

We decribe a number of properties of a median metric space. In particular, we show that a complete connected median metric of finite rank admits a cononical bilipschitz equivalent CAT(0) metric. Metric spaces of this sort arise, up to bilipschitz equivalence, as asymptotic cones of certain classes of finitely generated groups, and the existence of such a structure has various consequences for t...

Infections by echovirus 13 are rare. In our country, it had not been previously reported any infection of this sort until 2000, when eleven echovirus 13 meningitis were observed in the Department of Pediatrics of the Hospital Fernando Fonseca. In England and Spain outbreaks of echovirus 13 meningitis during 2000 was also reported. Based on these facts the authors make an epidemiological analyse...

For a p-group G admitting an automorphism φ of order pn with exactly pm fixed points such that φp n−1 has exactly pk fixed points, we prove that G has a fully-invariant subgroup of m-bounded nilpotency class with (p, n,m, k)-bounded index in G. We also establish its analogue for Lie p-rings. The proofs make use of the theory of commutator-type operators.

This investigation has as principal object comprehend the overcoming process of intrafamiliar violence against children overcoming process of the families. It explores authors’ oppinions about the value of the social and affective support network on the violence practiced by parents against their children overcoming process. It presents results referring to resident families of the city of Petr...

There has been a rise in the incidence and number of admissions of children with pancreatitis over the past 20 years. Current management practices for pancreatitis in children are adapted from standards of care for adults, and there are a lack of multicenter, prospective research studies on pancreatitis in children. There are inherent differences in the clinical presentation and natural course ...