A fresh approach to the exceptional automorphism and covers of the symmetric groups
Author
Source
The Arabian Journal for Science and Engineering. Section A, Science
Issue
Vol. 27, Issue 1A (31 Jan. 2002), pp.93-107, 15 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2002-01-31
Country of Publication
Saudi Arabia
No. of Pages
15
Main Subjects
Topics
Abstract AR
المعلوم أن التقابل الذاتي الخارجي لزيادة التماثل S6 و الأغطية الثلاثية للرمز A6 و A7 هي أمثلة قيمة لأشياء مألوفة, و التي تعرض سلوكا استثنائيا.
و بالإمكان استعمالها لتوضيح تواجد قطاع أكبر من الزمر.
و في هذا البحث نستعمل طرق التوليد التماثلي لتكوين S6:2 و 3:S6 و 3:S7 بطريقة اكتشافية أولية.
Abstract EN
The outer auto orphism of the symmetric group S6 and the triple covers of the alternating groups A6 and A7 are fascinating examples of familiar objects exhibiting exceptional behavior.
Not surprisingly they can be used to ‘explain’ the existence of much larger sporadic groups.
In this paper we use the techniques of symmetric generation to construct S6 : 2, 3˙S6 and 3˙S7 in an elementary and revealing fashion.
American Psychological Association (APA)
Curtis, Robert T.. 2002. A fresh approach to the exceptional automorphism and covers of the symmetric groups. The Arabian Journal for Science and Engineering. Section A, Science،Vol. 27, no. 1A, pp.93-107.
https://search.emarefa.net/detail/BIM-360229
Modern Language Association (MLA)
Curtis, Robert T.. A fresh approach to the exceptional automorphism and covers of the symmetric groups. The Arabian Journal for Science and Engineering. Section A, Science Vol. 27, no. 1A (Jan. 2002), pp.93-107.
https://search.emarefa.net/detail/BIM-360229
American Medical Association (AMA)
Curtis, Robert T.. A fresh approach to the exceptional automorphism and covers of the symmetric groups. The Arabian Journal for Science and Engineering. Section A, Science. 2002. Vol. 27, no. 1A, pp.93-107.
https://search.emarefa.net/detail/BIM-360229
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 107
Record ID
BIM-360229
