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You searched for subject:(monomial groups). Showing records 1 – 2 of 2 total matches.

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California State University – San Bernardino

1. Marouf, Manal Abdulkarim, Ms. Simple Groups and Related Topics.

Degree: MAin Mathematics, Mathematics, 2015, California State University – San Bernardino

In this thesis, we will give our discovery of original symmetric presentations of several important groups. We have investigated permutation and monomial progenitors 2*8: (23: 22), 2*9: (32: 24), 2*10: (24: (2 × 5)), 5*4:m (23: 22), 7*8:m (32: 24), and 3*5:m (24: (2 × 5)). The finite images of the above progenitors include the Mathieu sporadic group M12, the linear groups L2(8) and L2(13), and the extensions S6 × 2, 28 : .L2(8) , and 27 : .A5. We will show our construction of the four groups S3 , L2(8), L2(13), and S6 × 2 over S3, 22, S3 : 2, and S5, by using the technique of double coset enumeration. We will also provide isomorphism types all of the groups that have appeared as finite homomorphic images. We will show that the group L2(8) does not satisfy the conditions of Iwasawas Lemma and that the group L2(13) is simple by Iwasawas Lemma. We give constructions of M22 × 2 and M22 as homomorphic images of the progenitor S6. Advisors/Committee Members: Zahid Hasan.

Subjects/Keywords: Symple Groups; linear group; extensions Homomorphic Image; Isomorphicm Type; Progenitor; Group; Permutation; Monomial; Character; Classes; Magma; Double Coset Enumeration; Mathieu sporadic group; Physical Sciences and Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Marouf, Manal Abdulkarim, M. (2015). Simple Groups and Related Topics. (Thesis). California State University – San Bernardino. Retrieved from https://scholarworks.lib.csusb.edu/etd/239

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Marouf, Manal Abdulkarim, Ms. “Simple Groups and Related Topics.” 2015. Thesis, California State University – San Bernardino. Accessed December 03, 2020. https://scholarworks.lib.csusb.edu/etd/239.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Marouf, Manal Abdulkarim, Ms. “Simple Groups and Related Topics.” 2015. Web. 03 Dec 2020.

Vancouver:

Marouf, Manal Abdulkarim M. Simple Groups and Related Topics. [Internet] [Thesis]. California State University – San Bernardino; 2015. [cited 2020 Dec 03]. Available from: https://scholarworks.lib.csusb.edu/etd/239.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Marouf, Manal Abdulkarim M. Simple Groups and Related Topics. [Thesis]. California State University – San Bernardino; 2015. Available from: https://scholarworks.lib.csusb.edu/etd/239

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


University of North Texas

2. Alhaddad, Shemsi I. Generic Algebras and Kazhdan-Lusztig Theory for Monomial Groups.

Degree: 2006, University of North Texas

The Iwahori-Hecke algebras of Coxeter groups play a central role in the study of representations of semisimple Lie-type groups. An important tool is the combinatorial approach to representations of Iwahori-Hecke algebras introduced by Kazhdan and Lusztig in 1979. In this dissertation, I discuss a generalization of the Iwahori-Hecke algebra of the symmetric group that is instead based on the complex reflection group G(r,1,n). Using the analogues of Kazhdan and Lusztig's R-polynomials, I show that this algebra determines a partial order on G(r,1,n) that generalizes the Chevalley-Bruhat order on the symmetric group. I also consider possible analogues of Kazhdan-Lusztig polynomials. Advisors/Committee Members: Douglass, Matthew, Bator, Elizabeth M., Brozovic, Douglas, Shepler, Anne, Thiem, Nathanial.

Subjects/Keywords: Hecke algebras.; Kazhdan-Lusztig polynomials.; Coxeter groups.; Hecke algebra; Kazhdan-Lusztig theory; monomial groups

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Alhaddad, S. I. (2006). Generic Algebras and Kazhdan-Lusztig Theory for Monomial Groups. (Thesis). University of North Texas. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc5235/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Alhaddad, Shemsi I. “Generic Algebras and Kazhdan-Lusztig Theory for Monomial Groups.” 2006. Thesis, University of North Texas. Accessed December 03, 2020. https://digital.library.unt.edu/ark:/67531/metadc5235/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Alhaddad, Shemsi I. “Generic Algebras and Kazhdan-Lusztig Theory for Monomial Groups.” 2006. Web. 03 Dec 2020.

Vancouver:

Alhaddad SI. Generic Algebras and Kazhdan-Lusztig Theory for Monomial Groups. [Internet] [Thesis]. University of North Texas; 2006. [cited 2020 Dec 03]. Available from: https://digital.library.unt.edu/ark:/67531/metadc5235/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Alhaddad SI. Generic Algebras and Kazhdan-Lusztig Theory for Monomial Groups. [Thesis]. University of North Texas; 2006. Available from: https://digital.library.unt.edu/ark:/67531/metadc5235/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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