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Let ℨ be a complete set of Sylow subgroups of a group G. A subgroup H of G is called ℨ-permutably embedded in G if every Sylow subgroup of H is also a Sylow subgroup of some ℨ-permutable subgroup of G. By using this concept, we obtain some new criteria of p-supersolubility and p-nilpotency of a finite group.
We investigate when a partially ordered semigroup (with various types of local units) is strongly Morita equivalent to a posemigroup from a given class of partially ordered semigroups. Necessary and sufficient conditions for such equivalence are obtained for a series of well-known classes of posemigroups. A number of sufficient conditions for several classes of naturally ordered posemigroups are also provided.
On utilise l'équivalence due à M. Gromov entre l'hyperbolicité d'un espace métrique
géodésique et le fait que ses cônes asymptotiques sont des arbres réels. Ce résultat
permet tout d'abord de donner une nouvelle preuve du fait que l'inégalité isopérimétrique
sous-quadratique implique l'hyperbolicité. Les avantages de cette preuve sont qu'elle est
très courte et qu'elle utilise une seule propriété de la fonction aire de remplissage des
courbes fermées, l'inégalité du quadrilatère....
List of ParticipantsOrganizing committee: Vasil Tsanov – Sofia University (Chairman),
Harry Aleksiev – High School for Management and Laguages in Zlatograd (Local
Organizer), Leon Farhy – Sofia University (Scientific Secretary), Emil Horozov
– Sofia University, Ivailo Mladenov – Bulgarian Academy of Sciences, Angel
Zhivkov – Sofia University.
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