تقرير
Minimal 3-generated Majorana algebras
| العنوان: | Minimal 3-generated Majorana algebras |
|---|---|
| المؤلفون: | Mamontov, Andrey, Staroletov, Alexey, Whybrow, Madeleine |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, 17D99 (primary), 20F05 |
| الوصف: | Majorana theory was introduced by A. A. Ivanov as the axiomatization of certain properties of the 2A-axes of the Griess algebra. Since its inception, Majorana theory has proved to be a remarkable tool with which to study objects related to the Griess algebra and the Monster simple group. We introduce the definition of a minimal 3-generated Majorana algebra and begin the first steps towards classifying such algebras. In particular, we give a complete classification of finite minimal 3-generated 6-transposition groups. We then use an algorithm developed in GAP by M. Pfeiffer and M. Whybrow, together with some additional computational tools, to give an almost complete description of all minimal 3-generated Majorana algebras arising from this list of groups. Comment: Final version, to appear in the Journal of Algebra |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1809.03184 |
| رقم الأكسشن: | edsarx.1809.03184 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |