نتایج جستجو برای: conjugacy class of subgroup

تعداد نتایج: 21182280  

2009
Antonio Beltrán José Felipe

Let G be a finite group and suppose that the set of conjugacy class sizes of G is f1;m;mng, where m; n > 1 are coprime. We prove that m 1⁄4 p for some prime p dividing n 1. We also show that G has an abelian normal p-complement and that if P is a Sylow p-subgroup of G, then jP 0j 1⁄4 p and jP=ZðGÞpj 1⁄4 p. We obtain other properties and determine completely the structure of G.

Journal: :Symmetry 2022

The complex fuzzy environment is an innovative tool to handle ambiguous situations in different mathematical problems. In this article, we commence the abstraction of (?,?)-complex sets, subgroupoid, subgroups and describe important examples symmetric group under sets. Additionally, discuss conjugacy class with respect normal subgroups. We define cosets elaborate upon certain operation analog t...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه پیام نور - دانشگاه پیام نور استان تهران - دانشکده علوم انسانی 1392

abstract the present study deals with a comparison between reactive and pre-emptive focus-on-form in terms of application and efficiency. it was conducted in an intermediate english class in shahroud. 15 male learners participated in this research and their age ranged from 18 to 25. a course book, new interchange 3, and a complementary book were used. every session the learners gave lectures o...

Journal: :Heliyon 2023

In this paper, we define the notion of a t-intuitionistic fuzzy conjugate element and determine conjugacy classes subgroup. We propose idea p− subgroup prove version Cauchy theorem. addition, present investigate various fundamental algebraic characteristics notion. Furthermore, provide Sylow fuzzification Sylow's theorems.

Journal: :Asian-European Journal of Mathematics 2009

2009
ARMANDO MARTINO ASHOT MINASYAN

Let N be a finitely generated normal subgroup of a Gromov hyperbolic group G. We establish criteria for N to have solvable conjugacy problem and be conjugacy separable in terms of the corresponding properties of G/N . We show that the hyperbolic group from F. Haglund’s and D. Wise’s version of Rips’s construction is hereditarily conjugacy separable. We then use this construction to produce firs...

Journal: :ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE 2019

Journal: :Monatshefte für Mathematik 2022

Abstract Let G be a finite group, N normal subgroup of and K conjugacy class . We prove that if $$K\cup K^{-1}$$ K ∪ - 1 is union cosets , then soluble, real-imaginary class, is, every irreducible character takes ...

Journal: :Communications in Algebra 2021

Let $G$ be a simple algebraic group over an algebraically closed field $k$ of characteristic $p$. The classification the conjugacy classes unipotent elements $G(k)$ and nilpotent orbits on $\operatorname{Lie}(G)$ is well-established. One knows there are representatives every class as product root orbit sum elements. We give explicit in terms Chevalley basis for eminent classes. A (resp. nilpote...

Journal: :Siberian Mathematical Journal 2022

Let $\pi$ be a proper subset of the set all primes. Denote by $r$ smallest prime which does not belong to and $m = r$ if $r 2$ or $3$ r-1$ \geqslant 5$. We study following conjecture: conjugacy class $D$ finite group $G$ is contained in $\pi$-radical $\mathrm{O}_\pi(G)$ only every $m$ elements generate $\pi$-subgroup. confirm this conjecture for each whose nonabelian composition factors are iso...

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