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Profinite just infinite residually solvable Lie algebras | ||
| International Journal of Group Theory | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 22 تیر 1401 اصل مقاله (329.11 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2022.130053.1734 | ||
| نویسنده | ||
Dario Villanis Ziani  
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| University of Florence | ||
| چکیده | ||
| We provide some characterization theorems about just infinite profinite residually solvable Lie algebras, similarly to what C. Reid has done for just infinite profinite groups. In particular, we prove that a profinite residually solvable Lie algebra is just infinite if and only if its obliquity subalgebra has finite codimension in the Lie algebra, and we establish a criterion for a profinite residually solvable Lie algebra to be just infinite, looking at the finite Lie algebras occurring in the inverse system. | ||
| کلیدواژه‌ها | ||
| just-infinite Lie algebras؛ profinite Lie algebras؛ residually solvable Lie algebras | ||
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آمار تعداد مشاهده مقاله: 86 تعداد دریافت فایل اصل مقاله: 2 |
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