Combings of Groups and the Grammar of Reparameterization
نویسنده
چکیده
A new construction of combings is used to distinguish between several previously indistinguishable classes of groups associated to the theory of automatic groups and non-positive curvature in group theory. We construct synchronously bounded combings for a class of groups that are neither bicombable nor automatic. The linguistic complexity of these combings is analysed: in many cases the language of words in the combing is an indexed language.
منابع مشابه
A Note on the Grammar Of Combings
Explicit constructions are given to illustrate the loss of control that ensues when one replaces the regular languages of automatic group theory with larger families of languages. The results of [2] show that one can distinguish between various classes of combable groups by analyzing the grammatical complexity of the combings that the groups admit. That work clarifies the boundaries of automati...
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