کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4583588 1630444 2017 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generating pairs for finite index subgroups of SL(n,Z)
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Generating pairs for finite index subgroups of SL(n,Z)
چکیده انگلیسی
Let n≥3. Lubotzky [2] asked if every finite index subgroup of SL(n,Z) contains a finite index subgroup which is generated by two elements. Venkataramana [11] proved that every finite index subgroup of SL(n,Z) contains a finite index subgroup which is generated by three elements. Since then it was widely believed that the answer to Lubotzky's question is positive and we show that this is indeed the case. In fact, we prove a stronger statement: for “almost every” element g∈SL(n,Z) there exists h∈SL(n,Z) such that [SL(n,Z):〈g,hm〉]<∞ for every m≥1.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 470, 15 January 2017, Pages 420-424
نویسندگان
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