Investigations on Deck Wetness of Hatch Covers

All hands on deck!

Theta functions on covers of symplectic groups

We study the automorphic theta representation $Theta_{2n}^{(r)}$ on the $r$-fold cover of the symplectic group $Sp_{2n}$‎. ‎This representation is obtained from the residues of Eisenstein series on this group‎. ‎If $r$ is odd‎, ‎$nle r

On Orthogonal Covers of ~

An orthogonal cover of the complete digraph ~ K n is a collection of n spanning subgraphs ~ K n such that-every directed edge of ~ K n belongs to exactly 1 of the ~ G i 's and-for every two digraphs ~ G i and ~ G j (i 6 = j) there is a unique two-element set fa; bg of vertices such that ~ G i contains the directed edge (a; b) and ~ G j contains the directed edge (b; a). It is proven that there ...

On the Design of Flight-Deck Procedures

On Kernels of Cellular Covers

In the present paper we continue to examine cellular covers of groups, focusing on the cardinality and the structure of the kernel K of the cellular map G → M . We show that in general a torsion free reduced abelian group M may have a proper class of non-isomorphic cellular covers. In other words, the cardinality of the kernels is unbounded. In the opposite direction we show that if the kernel ...