Rank-3 scale theorems: Difference between revisions
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For theorems relating to the GO property, see [[generator-offset property]]. | For theorems relating to the GO property, see [[generator-offset property]]. | ||
==== | ==== Definition: Billiard scale ==== | ||
Let | Let | ||
* ''w'' be a scale word with signature ''a''<sub>1</sub>X<sub>1</sub>, ..., ''a''<sub>''r''</sub>X<sub>''r''</sub> (i.e. ''w'' is a scale word with ''a''<sub>''i''</sub>-many X<sub>''i''</sub> steps); | * ''w'' be a scale word with signature ''a''<sub>1</sub>X<sub>1</sub>, ..., ''a''<sub>''r''</sub>X<sub>''r''</sub> (i.e. ''w'' is a scale word with ''a''<sub>''i''</sub>-many X<sub>''i''</sub> steps); | ||