Symmetric Generation and Existence of McL : 2, the Automorphism Group of the McLaughlin Group
| dc.contributor.author | John Bradley | |
| dc.contributor.author | Robert T. Curtis | |
| dc.coverage.spatial | Bolivia | |
| dc.date.accessioned | 2026-03-22T15:15:38Z | |
| dc.date.available | 2026-03-22T15:15:38Z | |
| dc.date.issued | 2010 | |
| dc.description | Citaciones: 3 | |
| dc.description.abstract | We use the primitive action of the Mathieu group M22 of degree 672 to define a free product of 672 copies of the cyclic group ℤ2 extended by M22 to form a semidirect product which we denote by P = 2☆672: M 22. Such a semidirect product is called a progenitor. By investigating a subprogenitor of shape 2☆42: A 7 we are led to a short relation by which to factor P. We verify that the resulting factor group is McL: 2, the automorphism group of the McLaughlin simple group, and identify it with the familiar permutation group of degree 275. | |
| dc.identifier.doi | 10.1080/00927870902828595 | |
| dc.identifier.uri | https://doi.org/10.1080/00927870902828595 | |
| dc.identifier.uri | https://andeanlibrary.org/handle/123456789/51324 | |
| dc.language.iso | en | |
| dc.publisher | Taylor & Francis | |
| dc.relation.ispartof | Communications in Algebra | |
| dc.source | Universidad de Los Andes | |
| dc.subject | Semidirect product | |
| dc.subject | Mathematics | |
| dc.subject | Group (periodic table) | |
| dc.subject | Symmetric group | |
| dc.subject | Combinatorics | |
| dc.subject | Automorphism | |
| dc.subject | Permutation group | |
| dc.subject | Permutation (music) | |
| dc.subject | Alternating group | |
| dc.subject | Outer automorphism group | |
| dc.title | Symmetric Generation and Existence of McL : 2, the Automorphism Group of the McLaughlin Group | |
| dc.type | article |