Directions and scale-multiplicative semigroups in restricted Burger-Mozes groups

التفاصيل البيبلوغرافية
العنوان: Directions and scale-multiplicative semigroups in restricted Burger-Mozes groups
المؤلفون: Bywaters, Timothy P.
سنة النشر: 2019
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Group Theory, 22D05, 20E08, 22F50
الوصف: We study the scale function, space of directions and scale-multiplicative semigroups for restricted Burger-Mozes groups. We relate these general notions to intrinsic properties of the group. Among other things, we give a formula for the scale function; relate the space of directions to both the action on the tree and an action on a $\operatorname{CAT}(0)$ cube complex; and construct maximal scale-multiplicative semigroups from the space of directions.
Comment: 45 pages, V2: minor typographical errors corrected
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1911.08032
رقم الأكسشن: edsarx.1911.08032
قاعدة البيانات: arXiv