In this paper we introduce a new class of double coset Cayley digraphs induced by quasigroups. These graphs can be considered as the generalization of Double Coset Cayley Digraphs induced by loops. Moreover, various graph properties are expressed in terms of algebraic properties. This did not attract much attention in the literature.

Using sigma-model approach, we study a class of coset spaces with torsion which compactify the D = 26 closed bose-string theory. Requiring also that massless chiral fermions arise from the geometry/topology of coset space, we are left with the unique possibility: it implies D = 14 subcritical dimensions and certain isometry group.

stereoisograms of octahedral complexes are classified into five types (type i--typev) under the action of the corresponding rs-stereoisomeric group. their enumeration is accomplished in a type-itemized fashion, where fujita's proligand method developed originally for combinatorial enumeration under point groups (s. fujita, theor. chem. acc., 113, 73--79 (2005)) is extended to meet the requireme...

the subgroups of symplectic groups which fix a non-zero vector of the underlying symplectic space are called emph{affine subgroups.}~the split extension group $a(4)cong 2^7{:}sp_6(2)$ is the affine subgroup of the symplectic group $sp_8(2)$ of index $255$‎. ‎in this paper‎, ‎we use the technique of the fischer-clifford matrices to construct the character table of the inertia group $2^7{:}o^{-}_...