ملخص
We study the structure of groups of finitary tropical matrices under multiplication. We show that the maximal groups of n× n tropical matrices are precisely the groups of the form G× R where G is a group admitting a 2-closed permutation representation on n points. Each such maximal group is also naturally isomorphic to the full linear automorphism group of a related tropical polytope. Our results have numerous corollaries, including the fact that every automorphism of a projective (as a module) tropical polytope of full rank extends to an automorphism of the containing space.
اللغة الأصلية | الإنجليزيّة |
---|---|
الصفحات (من إلى) | 178-196 |
عدد الصفحات | 19 |
دورية | Semigroup Forum |
مستوى الصوت | 96 |
رقم الإصدار | 1 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | نُشِر - 1 فبراير 2018 |
منشور خارجيًا | نعم |