In this paper the 5-dimensional contact SO(3)-manifolds are classified up to equivariant contactomorphisms. The construction of such manifolds with singular orbits requires the use of generalized Dehn twists. We show as an application that all simply connected 5-manifolds with singular orbits are realized by a Brieskorn manifold with exponents (k, 2, 2, 2). A 5-dimensional contact SO(3)-manifol...

Abstract We provide an easy method for the construction of characteristic polynomials simple ordinary abelian varieties ${{\mathcal A}}$ dimension g over a finite field ${{\mathbb F}}_q$ , when $q\ge 4$ and $2g=\rho ^{b-1}(\rho -1)$ some prime $\rho \ge 5$ with $b\ge 1$ . Moreover, we show that is absolutely if $b=1$ prime, but not any $b>1$

Previous research has shown that stimuli rendered invisible through masking can be sufficiently processed to induce nonconscious influences and facilitate subsequent recognition. However, masking paradigms are methodologically restricted such that stimuli cannot be presented for longer than a few tens of milliseconds, potentially restricting the strength of nonconscious influences. By adapting ...

A ring is called a Gelfand ring (pm ring ) if each prime ideal is contained in a unique maximal ideal. For a Gelfand ring R with Jacobson radical zero, we show that the following are equivalent: (1) R is Artinian; (2) R is Noetherian; (3) R has a finite Goldie dimension; (4) Every maximal ideal is generated by an idempotent; (5) Max (R) is finite. We also give the following resu1ts:an ideal...

Let F be a field of characteristic ` > 0 and let G be a finite group. It is well-known that the dimension of the minimal projective cover Φ1 (the so-called 1PIM) of the trivial left F[G]-module is a multiple of the `-part |G|` of the order of G. In this note we study finite groups G satisfying dimF(Φ1 ) = |G|`. In particular, we classify the non-abelian finite simple groups G and primes ` satis...