Detecting conjugacy stability of subgroups in certain classes of groups
نویسندگان
چکیده
Abstract In this paper, we consider the conjugacy stability property of subgroups and provide effective procedures to solve problem in several classes groups. particular, start with free groups, that is, give an procedure find out if a finitely generated subgroup group is stable. Then further generalize result quasi-convex torsion-free hyperbolic groups limit
منابع مشابه
Nilpotent groups with three conjugacy classes of non-normal subgroups
Let $G$ be a finite group and $nu(G)$ denote the number of conjugacy classes of non-normal subgroups of $G$. In this paper, all nilpotent groups $G$ with $nu(G)=3$ are classified.
متن کاملnilpotent groups with three conjugacy classes of non-normal subgroups
let $g$ be a finite group and $nu(g)$ denote the number of conjugacy classes of non-normal subgroups of $g$. in this paper, all nilpotent groups $g$ with $nu(g)=3$ are classified.
متن کاملConjugacy Classes in Maximal Parabolic Subgroups of General Linear Groups
We compute conjugacy classes in maximal parabolic subgroups of the general linear group. This computation proceeds by reducing to a “matrix problem”. Such problems involve finding normal forms for matrices under a specified set of row and column operations. We solve the relevant matrix problem in small dimensional cases. This gives us all conjugacy classes in maximal parabolic subgroups over a ...
متن کاملOn the poset of conjugacy classes of subgroups of groups
In this survey paper we bring together a number of results concerning to the poset of conjugacy classes of subgroups of some groups. MSC (2000): Primary 20E45, Secondary 20D30, 20E15.
متن کاملCOMPUTING THE PRODUCTS OF CONJUGACY CLASSES FOR SPECIFIC FINITE GROUPS
Suppose $G$ is a finite group, $A$ and $B$ are conjugacy classes of $G$ and $eta(AB)$ denotes the number of conjugacy classes contained in $AB$. The set of all $eta(AB)$ such that $A, B$ run over conjugacy classes of $G$ is denoted by $eta(G)$.The aim of this paper is to compute $eta(G)$, $G in { D_{2n}, T_{4n}, U_{6n}, V_{8n}, SD_{8n}}$ or $G$ is a decomposable group of order $2pq$, a group of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Group Theory
سال: 2021
ISSN: ['1435-4446', '1433-5883']
DOI: https://doi.org/10.1515/jgth-2020-0133