An immediate generalization of the classical McKay correspondence for Gorenstein quotient spaces C/G in dimensions r ≥ 4 would primarily demand the existence of projective, crepant, full desingularizations. Since this is not always possible, it is natural to ask about special classes of such quotient spaces which would satisfy the above property. In this paper we give explicit necessary and suf...

We study linear actions of algebraic groups on smooth projective varieties X. A guiding goal for us is to understand the cohomology of “quotients” under such actions, by generalizing (from reductive to non-reductive group actions) existing methods involving Mumford’s geometric invariant theory (GIT). We concentrate on actions of unipotent groups H, and define sets of stable points X and semista...

We show that every finitely generated nilpotent group of class 2 occurs as the quotient of a finitely presented abelian-by-nilpotent group by its largest nilpotent normal subgroup.

In this paper, we consider quotient structure and quotient difunctions in the context of interior and closure operators on textures in the sense of Dikranjan-Giuli. The generalizations of several results concerning separation and quotient mapping are presented. It is shown that the category of interior-closure spaces and bicontinuous difunctions has a T0 reflection. Finally, we introduce some c...

In this paper, we completely classify all the finite p-groups G such that, for every non-normal cyclic subgroup H of G, the quotient group G/HG is cyclic. Mathematics Subject Classification: 20D15

Based on the light relation between a normal subgroup and a complete congruence relation of a group, we consider the homomorphism problem of rough groups and rough quotient groups and investigate their operational properties. Some new results are obtained.

OBJECTIVE To explore the attention characteristics of children with different clinical subtypes of attention deficit hyperactivity disorder (ADHD) and to provide a basis for clinical intervention. METHODS A total of 345 children diagnosed with ADHD were selected and the subtypes were identified. Attention assessment was performed by the intermediate visual and auditory continuous performance ...

Exposure to a stressor (mild electrical shocks to foot, five times per episode, at 1800, 1830, 1900 and 1930 hrs of proestrus) coinciding with period of pre-ovulatory progesterone secretion in rats abolished estrous behavior as shown by the absence of lordosis response and a significant increase in rejection quotient compared to controls. These rats did not show spermatozoa in the vaginal smear...