Results 111 to 120 of about 2,545 (225)

A note on maximal length elements in conjugacy classes of finite coxeter groups

, 2010
The maximal lengths of elements in each of the conjugacy classes of Coxeter groups of types $B_n$, $D_n$ and $E_6$ are determined.
Rowley, P.J., Hart, Sarah, Hart, Sarah B.   +2 more
core  

Solutions to the conjugacy search and decision problems in the braid group using finite conjugacy class invariants

, 2023
For two braids, A, B ∈ Bn, the conjugacy decision problem asks whether another braid X ∈ Bn exists such that X−1 A X = B. If we know A, B ∈ Bn are indeed conjugate, the conjugacy search problem asks us to find a braid Y ∈ Bn such that Y −1 A Y = B.
Erasmus, Sane´
core  

Characterization of the alternating groups by their order and one conjugacy class length [PDF]

, 2016
summary:Let $G$ be a finite group, and let $N(G)$ be the set of conjugacy class sizes of $G$. By Thompson's conjecture, if $L$ is a finite non-abelian simple group, $G$ is a finite group with a trivial center, and $N(G)=N(L)$, then $L $ and $G$ are ...
Mohammadyari, Reza, Khalili Asboei, Alireza   +1 more
core   +1 more source

Generation by Conjugate Elements of Finite Almost Simple Groups With a Sporadic Socle

Известия Иркутского государственного университета: Серия "Математика"
We study the minimum number of elements in the conjugacy class of an automorphism of a sporadic simple group that generate a subgroup containing all inner automorphisms.
D. O. Revin, A. V. Zavarnitsine
doaj   +1 more source

The conjugacy classes, conjugate graph and conjugacy class graph of some finite metacyclic 2-groups

, 2016
In this paper, G denotes a metacyclic 2-group of order at most 32 and ? denotes a simple undirected graph. A conjugacy class is an equivalence relation, in which the group is partitioned into disjoint sets.
Muhammad Nizammul Hayad Bin Yahya
core  

Conjugacy classes and graphs of two-groups of nilpotency class two [PDF]

, 2013
Two elements a and b of a group are called conjugate if there exists an element g in the group such that gag??1 = b: The set of all conjugates in a group forms the conjugacy classes of the group.
Ilangovan, Sheila
core  

Cryptanalysis of matrix conjugation schemes

Journal of Mathematical Cryptology, 2014
In this paper we cryptanalyze two protocols: the Grigoriev–Shpilrain authentication protocol and a public key cryptosystem due to Wang, Wang, Cao, Okamoto and Shao.
Myasnikov Alex D., Ushakov Alexander
doaj   +1 more source

Spherical conjugacy classes and the Bruhat decomposition [PDF]

Annales de l'Institut Fourier, 2009
Let G be a connected, reductive algebraic group over an algebraically closed field of zero or good and odd characteristic. We characterize spherical conjugacy classes in G
openaire   +4 more sources

The conjugate graph and conjugacy class graph of order at most 32 [PDF]

, 2015
A groupis called metacyclic if it has a cyclic normal subgroup such that the quotient groupis also cyclic. The classification of non-Abelianmetacyclicp-groups of class two has been found by earlier researcher, which is partitioned into two families of ...
Sarmin, Nor Haniza, Bilhikmah, Nurul Huda   +1 more
core  

Simple dynamical systems

Applied General Topology, 2019
In this paper, we study the class of simple systems on R induced by homeomorphisms having finitely many non-ordinary points. We characterize the family of homeomorphisms on R having finitely many non-ordinary points upto (order) conjugacy.
K. Ali Akbar, V. Kannan, I. Subramania Pillai   +2 more
doaj   +1 more source