ملخص
The largest finite subgroup of O(4) is the non-crystallographic Coxeter group W(H4) of order 14,400. Its derived subgroup is the largest finite subgroup W(H4)/Z2 of SO(4) of order 7200. Moreover, up to conjugacy, it has five non-normal maximal subgroups of orders 144, two 240, 400 and 576. Two groups [W(H2) × W(H2)]⋊ Z4 and W(H3) × Z2 possess non-crystallographic structures with orders 400 and 240 respectively. The groups of orders 144, 240 and 576 are the extensions of the Weyl groups of the root systems of SU(3) × SU(3), SU(5) and SO(8) respectively. We represent the maximal subgroups of W(H4) with sets of quaternion pairs acting on the quaternionic root systems.
اللغة الأصلية | English |
---|---|
الصفحات (من إلى) | 441-452 |
عدد الصفحات | 12 |
دورية | Linear Algebra and Its Applications |
مستوى الصوت | 412 |
رقم الإصدار | 2-3 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | Published - يناير 15 2006 |
ASJC Scopus subject areas
- ???subjectarea.asjc.2600.2602???
- ???subjectarea.asjc.2600.2612???
- ???subjectarea.asjc.2600.2608???
- ???subjectarea.asjc.2600.2607???