منابع مشابه
on finite c-tidy groups
a group $g$ is said to be a c-tidy group if for every element $x in g setminus k(g)$, the set $cyc(x)=lbrace y in g mid langle x, y rangle ; {rm is ; cyclic} rbrace$ is a cyclic subgroup of $g$, where $k(g)=underset{x in g}bigcap cyc(x)$. in this short note we determine the structure of finite c-tidy groups.
متن کاملa note on finite c-tidy groups
let $g$ be a group and $x in g$. the cyclicizer of $x$ is defined to be the subset $cyc(x)=lbrace y in g mid langle x, yrangle ; {rm is ; cyclic} rbrace$. $g$ is said to be a tidy group if $cyc(x)$ is a subgroup for all $x in g$. we call $g$ to be a c-tidy group if $cyc(x)$ is a cyclic subgroup for all $x in g setminus k(g)$, where $k(g)$ is the intersection of all the cyclicizers in ...
متن کاملOn c-normal and hypercentrally embeded subgroups of finite groups∗
In this article, we investigate the structure of a finite group G under the assumption that some subgroups of G are c-normal in G. The main theorem is as follows: Theorem A. Let E be a normal finite group of G. If all subgroups of Ep with order dp and 2dp (if p = 2 and Ep is not an abelian nor quaternion free 2-group) are c-normal in G, then E is p-hypercyclically embedded in G. We give some ap...
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We describe some of the forms of freeness of group actions on noncommutative C*-algebras that have been used, with emphasis on actions of finite groups. We give some indications of their strengths, weaknesses, applications, and relationships to each other. The properties discussed include the Rokhlin property, K-theoretic freeness, the tracial Rokhlin property, pointwise outerness, saturation, ...
متن کاملthe structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2000
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(99)00060-2