- 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...
-
abelian groups (relators
include all commutators) Gromov-hyperbolic
groups biautomatic groups CAT(0)
groups Fundamental groups of
geometrizable 3-manifolds...
- {\displaystyle \mathbb {C} ^{n}} . Artin–****
groups of
spherical type are
biautomatic groups (Ruth Charney). In
modern terminology, an Artin–****
group A {\displaystyle...
- 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...
