Definition of Biautomatic. Meaning of Biautomatic. Synonyms of Biautomatic

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Definition of Biautomatic

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Meaning of Biautomatic from wikipedia

- is biautomatic if it has two multiplier automata, for left and right multiplication by elements of the generating set, respectively. A biautomatic group...
- in degree 2. Hyperbolic groups have a solvable word problem. They are biautomatic and automatic. Indeed, they are strongly geodesically automatic, that...
- {\displaystyle \mathbb {C} ^{n}} . Artin–**** groups of spherical type are biautomatic groups (Ruth Charney). In modern terminology, an Artin–**** group A {\displaystyle...
- abelian groups (relators include all commutators) Gromov-hyperbolic groups biautomatic groups CAT(0) groups Fundamental groups of geometrizable 3-manifolds...
- equivalent. Hyperbolic groups have a solvable word problem. They are biautomatic and automatic.: indeed, they are strongly geodesically automatic, that...
- group of fractions: such a group is a Garside group. A Garside group is biautomatic and hence has soluble word problem and conjugacy problem. Examples of...
- languages under logical combinations; the definition of automatic groups and biautomatic groups; examples from topology and "combable" structure in the Cayley...
- 1016/0022-4049(91)90139-S. Gersten, S. M.; Short, H. B. (1991). "Rational Subgroups of Biautomatic Groups". Annals of Mathematics. 134 (1): 125–158. doi:10.2307/2944334...
- 2, 307–324. MR1314589 Charney, Ruth Artin groups of finite type are biautomatic. Math. Ann. 292 (1992), no. 4, 671–683. MR1157320 Charney, Ruth An introduction...