Let G be a finite group. The strong symmetric genus σ0(G) is the minimum genus of any Riemann surface on which G acts preserving orientation. The groups of strong symmetric genus σ0 ≤ 3 have been classified. Here we classify the groups of strong symmetric genus four. There are exactly ten such groups; eight of these are automorphism groups of regular maps of genus 4. We also consider non-abelia...

background and objective: genus salacia l. (celastraceae) is a woody climbing medicinal plant consisting of about 200 species with many endangered species located throughout the world’s tropical areas. various parts of the plant as food, functional food additive and tea have been extensively used to treat a variety of ailments like diabetes and obesity as well as inflammatory and skin diseases....

It is well known that relations in the tautological ring of moduli spaces of pointed stable curves give partial differential equations for Gromov-Witten invariants of compact symplectic manifolds. These equations do not depend on the target symplectic manifolds and therefore are called universal equations for Gromov-Witten invariants. In the case that the quantum cohomology of the symplectic ma...

Gross and Rosen asked if the genus of a 2-dimensional complex K embeddable in some (orientable) surface is equal to the genus of the graph of appropriate barycentric subdivision of K. We answer the nonorientable genus and the Euler genus versions of Gross and Rosen's question in affirmative. We show that this is not the case for the orientable genus by proving that taking blog2 gcth barycentric...

Three new species and one new genus of Uropodina from Tanzania are described and illustrated. They include the second species of the genus Bloszykiella Kontschán, 2010, Bloszykiella grebennikovi sp. nov., and the resurrection and re-definition of the genus Spinosissuropoda Hirschmann, 1979, with description of a new species, Spinosissuropoda tanzanica sp. nov. Five species of Uropoda are transf...

The nematode Pseudoplatycoma malaysianis n. gen. n. sp. is described from the Sulu Sea (Malaysia). The new genus is classified in the subfamily Platycominae Platonova 1976. Revision of the new genus and four other genera in Platycominae, resulted in four species from the genus Platycomopsis being transferred to other genera: P. dimorphica and P. mazjatzavi to the genus Platycoma; P. effilata to...

This paper is devoted to extend some well-known facts on the genus of a surface and on the Heegaard genus of a 3-manifold to manifolds of arbitrary dimension. More precisely, we prove that the genus of non-orientable manifolds is always even and we compare the genus of a manifold with the rank of its fundamental group and with the genus of its boundary.

Ayurakitia, previously treated as a subgenus of genus Aedes, is restored as a genus in tribe Aedini of family Culicidae. Rationale for this action is discussed. The genus includes 2 species (griffithi and peytoni) and has been reported from Southeast Asia. The most distinctive features of the genus are listed. A revised and expanded definition of the genus and illustrations of the female and ma...