§ 123 Subgroups of finite groups generated by all elements in two shortest conjugacy classes

2011 ◽  
pp. 237-238
Keyword(s):  
Finite Groups ◽  
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 Computing Hall subgroups of finite groups

2012 ◽  
Vol 15 ◽  
pp. 205-218
Author(s):  
Bettina Eick ◽  
Alexander Hulpke
Keyword(s):  
Finite Groups ◽  
Conjugacy Classes ◽  
Matrix Group ◽  
Effective Algorithm ◽  
Hall Subgroups ◽  
Fitting Model

AbstractWe describe an effective algorithm to compute a set of representatives for the conjugacy classes of Hall subgroups of a finite permutation or matrix group. Our algorithm uses the general approach of the so-called ‘trivial Fitting model’.

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