On the Ranks of the Alternating Group 
                
                  
                
                $$A_{n}$$
                
                  
                    
                      A
                      n

Basheer, Ayoub B.M.; Moori, Jamshid

doi:10.1007/s40840-017-0586-5

Cited by 3 publications

(2 citation statements)

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“…Here we compute the conjugacy classes of G using the coset analysis technique (see Basheer [2], Basheer and Moori [3,4,6] or Moori [19] and [20] for more details) since we are interested to organize the classes of G corresponding to the classes of J 2 :2. Note that J 2 :2 has 27 conjugacy classes (see the Atlas [22] or Table of this paper).…”

Section: Conjugacy Classes Ofmentioning

confidence: 99%

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On A Group Involving The Automorphism of The Janko Group J2

Basheer

2023

JIMS

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The Janko sporadic simple group J2 has an automorphism group 2. Using the electronic Atlas of Wilson [22], the group J2:2 has an absolutely irreducible module of dimension 12 over F2. It follows that a split extension group of the form 2^12:(J2:2) := G exists. In this article we study this group, where we compute its conjugacy classes and character table using the coset analysis technique together with Clifford-Fischer Theory. The inertia factor groups of G will be determined by analysing the maximal subgroups of J2:2 and maximal of the maximal subgroups of J2:2 together with various other information. It turns out that the character table of G is a 64×64 real valued matrix, while the Fischer matrices are all integer valued matrices with sizes ranging from 1 to 6.

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Section: Conjugacy Classes Ofmentioning

confidence: 99%

“…For the notation used in this article and how the Clifford-Fischer theory and the coset analysis techniques are used, we follow [1,2,3,4,5,6,7,8,9,10,11,12,14,16].…”

Section: Introductionmentioning

confidence: 99%