Minimal dimension faithful linear representations of common finitely presented groups

التفاصيل البيبلوغرافية
العنوان: Minimal dimension faithful linear representations of common finitely presented groups
المؤلفون: Button, J. O.
سنة النشر: 2016
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Group Theory
الوصف: For various finitely presented groups, including right angled Artin groups and free by cyclic groups, we investigate what is the smallest dimension of a faithful linear representation. This is done both over C and over fields of positive characteristic. In particular we show that Gersten's free by cyclic group has no faithful linear representation of dimension 4 or less over C, but has no faithful linear representation of any dimension over fields of positive characteristic.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1610.03712
رقم الأكسشن: edsarx.1610.03712
قاعدة البيانات: arXiv