Solutions Of The Frobenius Class Equation In Alternating Groups
The Frobenius equation d x in finite groups was introduced by G. Frobenius and studied by many others who dealt with several types of finite groups, including finite cyclic groups, m generated finite groups, finite p groups, and wreath products of finite groups. In the current study, the number...
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my.usm.eprints.44890 http://eprints.usm.my/44890/ Solutions Of The Frobenius Class Equation In Alternating Groups Kholil, Shuker Mahmood QA1-939 Mathematics The Frobenius equation d x in finite groups was introduced by G. Frobenius and studied by many others who dealt with several types of finite groups, including finite cyclic groups, m generated finite groups, finite p groups, and wreath products of finite groups. In the current study, the number of solutions for the class equation x A( ) d in an alternating group n A is found and it is observed that ranges over A( ) the conjugacy class of in n A . In this thesis, four cases of solutions to the class equation d x in n A are discussed. Firstly, the class equation d x in n A , where H C c n , for all n 1 is solved and the number of solutions of the above equation with n H { C of n S | n 1, with all parts k of different and odd} is found, where C is a conjugacy class of n S . 2012 Thesis NonPeerReviewed application/pdf en http://eprints.usm.my/44890/1/SHUKER%20MAHMOOD%20KHOLIL.pdf Kholil, Shuker Mahmood (2012) Solutions Of The Frobenius Class Equation In Alternating Groups. PhD thesis, Universiti Sains Malaysia. |
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QA1-939 Mathematics Kholil, Shuker Mahmood Solutions Of The Frobenius Class Equation In Alternating Groups |
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The Frobenius equation d x in finite groups was introduced by G. Frobenius and studied by many others who dealt with several types of finite groups, including finite cyclic groups, m generated finite groups, finite p groups, and wreath products of finite groups. In the current study, the number of solutions for the class equation x A( ) d in an alternating group n A is found and it is observed that ranges over A( ) the conjugacy class of in n A . In this thesis, four cases of solutions to the class equation d x in n A are discussed. Firstly, the class equation d x in n A , where H C c n , for all n 1 is solved and the number of solutions of the above equation with n H { C of n S | n 1, with all parts k of different and odd} is found, where C is a conjugacy class of n S . |
| format |
Thesis |
| author |
Kholil, Shuker Mahmood |
| author_facet |
Kholil, Shuker Mahmood |
| author_sort |
Kholil, Shuker Mahmood |
| title |
Solutions Of The Frobenius Class Equation In Alternating Groups |
| title_short |
Solutions Of The Frobenius Class Equation In Alternating Groups |
| title_full |
Solutions Of The Frobenius Class Equation In Alternating Groups |
| title_fullStr |
Solutions Of The Frobenius Class Equation In Alternating Groups |
| title_full_unstemmed |
Solutions Of The Frobenius Class Equation In Alternating Groups |
| title_sort |
solutions of the frobenius class equation in alternating groups |
| publishDate |
2012 |
| url |
http://eprints.usm.my/44890/1/SHUKER%20MAHMOOD%20KHOLIL.pdf http://eprints.usm.my/44890/ |
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1643711135281577984 |
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13.244745 |