Introduction to Sporadic Groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Introduction to Sporadic Groups
|
|
| Creator |
Boya, L.J.
|
|
| Description |
This is an introduction to finite simple groups, in particular sporadic groups, intended for physicists. After a short review of group theory, we enumerate the 1+1+16=18 families of finite simple groups, as an introduction to the sporadic groups. These are described next, in three levels of increasing complexity, plus the six isolated ''pariah'' groups. The (old) five Mathieu groups make up the first, smallest order level. The seven groups related to the Leech lattice, including the three Conway groups, constitute the second level. The third and highest level contains the Monster group M, plus seven other related groups. Next a brief mention is made of the remaining six pariah groups, thus completing the 5+7+8+6=26 sporadic groups. The review ends up with a brief discussion of a few of physical applications of finite groups in physics, including a couple of recent examples which use sporadic groups.
|
|
| Date |
2019-02-11T15:23:01Z
2019-02-11T15:23:01Z 2011 |
|
| Type |
Article
|
|
| Identifier |
Introduction to Sporadic Groups / L.J. Boya // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 34 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 20D08; 20F99 DOI:10.3842/SIGMA.2011.009 http://dspace.nbuv.gov.ua/handle/123456789/146797 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|