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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 ![]() ![]() | ||
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 | ||
آمار تعداد مشاهده مقاله: 86 تعداد دریافت فایل اصل مقاله: 2 |