group actions related to non-vanishing elements
Authors
abstract
we characterize those groups $g$ and vector spaces $v$ such that $v$ is a faithful irreducible $g$-module and such that each $v$ in $v$ is centralized by a $g$-conjugate of a fixed non-identity element of the fitting subgroup $f(g)$ of $g$. we also determine those $v$ and $g$ for which $v$ is a faithful quasi-primitive $g$-module and $f(g)$ has no regular orbit. we do use these to show in some cases that a non-vanishing element lies in $f(g)$.
similar resources
Which elements of a finite group are non-vanishing?
Let $G$ be a finite group. An element $gin G$ is called non-vanishing, if for every irreducible complex character $chi$ of $G$, $chi(g)neq 0$. The bi-Cayley graph ${rm BCay}(G,T)$ of $G$ with respect to a subset $Tsubseteq G$, is an undirected graph with vertex set $Gtimes{1,2}$ and edge set ${{(x,1),(tx,2)}mid xin G, tin T}$. Let ${rm nv}(G)$ be the set of all non-vanishi...
full textwhich elements of a finite group are non-vanishing?
let $g$ be a finite group. an element $gin g$ is called non-vanishing, if for every irreducible complex character $chi$ of $g$, $chi(g)neq 0$. the bi-cayley graph $bcay(g,t)$ of $g$ with respect to a subset $tsubseteq g$, is an undirected graph with vertex set $gtimes{1,2}$ and edge set ${{(x,1),(tx,2)}mid xin g, tin t}$. let $nv(g)$ be the set of all non-vanishing element...
full textDistortion Elements in Group actions on surfaces
If G is a finitely generated group with generators {g1, . . . , gj} then an infinite order element f ∈ G is a distortion element of G provided lim inf n→∞ |f|/n = 0, where |f| is the word length of f in the generators. Let S be a closed orientable surface and let Diff(S)0 denote the identity component of the group of C diffeomorphisms of S. Our main result shows that if S has genus at least two...
full textCoordination Games with vanishing Actions
We deal with n-player coordination games with vanishing actions, which are repeated games where all non-diagonal entries yield zero-payoffs, and where, moreover, at any stage beyond ri any player i loses any action that she has not used during the previous ri stages of play. For these games we examine the set of equilibrium rewards, where we treat the two-player case and the more player case se...
full textSome Results Related to Group Actions in Several Complex Variables
In this talk, we’ll present some recent results related to group actions in several complex variables. We’ll not aim at giving a complete survey about the topic but giving some our own results and related ones. We’ll divide the results into two cases: compact and noncompact transformation groups. We emphasize some essential differences between the two cases. In the compact case, we’ll mention s...
full textnon-corrective approach to pronunciation
the aim of this study has been to find answers for the following questions: 1. what is the effect of immediate correction on students pronunciation errors? 2. what would be the effect of teaching the more rgular patterns of english pronunciation? 3. is there any significant difference between the two methods of dealing with pronuciation errore, i. e., correction and the teaching of the regular ...
15 صفحه اولMy Resources
Save resource for easier access later
Journal title:
international journal of group theoryPublisher: university of isfahan
ISSN 2251-7650
volume 3
issue 2 2014
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023