scholarly journals In this paper we find all conjugacy classes of the first basic Renner monoid of type E6. They are listed in the tables of the paper.

2012 ◽  
Vol 02 (05) ◽  
Author(s):  
Zhenheng Li Zhuo Li
Keyword(s):  
Conjugacy Classes ◽  
Renner Monoid

scholarly journals Conjugacy classes in the symplectic Renner monoid

2010 ◽  
Vol 324 (8) ◽  
pp. 1940-1951 ◽  
Author(s):  
You'an Cao ◽  
Zhenheng Li ◽  
Zhuo Li
Keyword(s):  
Conjugacy Classes ◽  
Renner Monoid

scholarly journals Groups with boundedly finite conjugacy classes of commutators

2018 ◽  
Vol 69 (3) ◽  
pp. 1047-1051 ◽  
Author(s):  
Gláucia Dierings ◽  
Pavel Shumyatsky
Keyword(s):  
Conjugacy Classes ◽  
Finite Conjugacy

ON THE REGULAR GRAPH RELATED TO THE G-CONJUGACY CLASSES

2021 ◽  
pp. 1-5
Author(s):  
SH. RAHIMI ◽  
Z. AKHLAGHI
Keyword(s):  
Finite Group ◽  
Normal Subgroup ◽  
Conjugacy Class ◽  
Regular Graph ◽  
Simple Graph ◽  
Conjugacy Classes ◽  
A Finite Group

Abstract Given a finite group G with a normal subgroup N, the simple graph $\Gamma _{\textit {G}}( \textit {N} )$ is a graph whose vertices are of the form $|x^G|$ , where $x\in {N\setminus {Z(G)}}$ and $x^G$ is the G-conjugacy class of N containing the element x. Two vertices $|x^G|$ and $|y^G|$ are adjacent if they are not coprime. We prove that, if $\Gamma _G(N)$ is a connected incomplete regular graph, then $N= P \times {A}$ where P is a p-group, for some prime p, $A\leq {Z(G)}$ and $\textbf {Z}(N)\not = N\cap \textbf {Z}(G)$ .

scholarly journals Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes

2021 ◽  
Vol 383 ◽  
pp. 107688
Author(s):  
Jeffrey Adams ◽  
Xuhua He ◽  
Sian Nie
Keyword(s):  
Weyl Group ◽  
Partial Orders ◽  
Conjugacy Classes

scholarly journals A classification of spherical conjugacy classes

2016 ◽  
Vol 285 (1) ◽  
pp. 63-91
Author(s):  
Mauro Costantini
Keyword(s):  
Conjugacy Classes

A NOTE ON THE NUMBER OF ZEROS IN THE COLUMNS OF THE CHARACTER TABLE OF A GROUP

2012 ◽  
Vol 12 (02) ◽  
pp. 1250150 ◽  
Author(s):  
JINSHAN ZHANG ◽  
ZHENCAI SHEN ◽  
SHULIN WU
Keyword(s):  
Finite Groups ◽  
Irreducible Character ◽  
Conjugacy Classes ◽  
Character Table ◽  
Number Of Zeros

The finite groups in which every irreducible character vanishes on at most three conjugacy classes were characterized [J. Group Theory13 (2010) 799–819]. Dually, we investigate the finite groups whose columns contain a small number of zeros in the character table.

scholarly journals Reality properties of conjugacy classes in algebraic groups

2008 ◽  
Vol 165 (1) ◽  
pp. 1-27 ◽  
Author(s):  
Anupam Singh ◽  
Maneesh Thakur
Keyword(s):  
Algebraic Groups ◽  
Conjugacy Classes

Bounds for the Number of Conjugacy Classes of Non-Normal Subgroups in a Finitep-Group

2009 ◽  
Vol 37 (11) ◽  
pp. 3928-3942
Author(s):  
Gustavo A. Fernández-Alcober ◽  
Leire Legarreta
Keyword(s):  
Conjugacy Classes ◽  
Normal Subgroups

scholarly journals Conjugacy Classes ofP-Cycles of Type D in Alternating Groups

2014 ◽  
Vol 42 (10) ◽  
pp. 4426-4434 ◽  
Author(s):  
Fernando Fantino
Keyword(s):  
Conjugacy Classes ◽  
Alternating Groups ◽  
Type D
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