Rapid semimicrodetermination of acetyl groups and methyl groups attached to carbon

commuting and non -commuting graphs of finit groups

فرض کنیمg یک گروه غیر آبلی متناهی باشد . گراف جابجایی g که با نماد نمایش داده می شود ،گرافی است ساده با مجموعه رئوس که در آن دو راس با یک یال به هم وصل می شوند اگر و تنها اگر . مکمل گراف جابجایی g راگراف نا جابجایی g می نامیم.و با نماد نشان می دهیم. گرافهای جابجایی و ناجابجایی یک گروه متناهی ،اولین بار توسطاردوش1 مطرح گردید ،ولی در سالهای اخیر به طور مفصل در مورد بحث و بررسی قرار گرفتند . در ،م...

Metric groups attached to biextensions

Let G be a connected, unipotent, perfect group scheme over an algebraically closed field of characteristic p > 0 and let E be a biextension (cf. [SGA7tI], exp. VII, no. 1) of G ×k G by the discrete group Qp/Zp. When E is skewsymmetric (cf. sec. 3.1), V. Drinfeld defined in [Dr] a certain metric group A (cf. appendix) associated to E. In this article, we prove a conjecture stated in [Dr] (cf. se...

Groups and Ultra-groups

In this paper, in addition to some elementary facts about the ultra-groups, which their structure based on the properties of the transversal of a subgroup of a group, we focus on the relation between a group and an ultra-group. It is verified that every group is an ultra-group, but the converse is not true generally. We present the conditions under which, for every normal subultra-group of an u...

On the rank of Picard groups of modular varieties attached to orthogonal groups

Motivic interpretation of Milnor K-groups attached to Jacobian varieties

In the paper [Som90] p.105, Somekawa conjectures that his Milnor Kgroup K(k, G1, . . . , Gr) attached to semi-abelian varieties G1,. . . ,Gr over a field k is isomorphic to ExtrMk (Z, G1[−1] ⊗ . . . ⊗ Gr[−1]) where Mk is a certain category of motives over k. The purpose of this note is to give remarks on this conjecture, when we take Mk as Voevodsky’s category of motives DM (k) .