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Not much is known even for linear groups (note that Gersten asked [19, 20] if there exists a uniform upper bound for Dehn functions of linear groups).
In fact one can have much smaller bounds for many linear groups.
The Lie-Kolchin-Mal'cev theorem (see for example [132, Section 15.1]) establishes that soluble linear groups are in (mathfrak C ).
Later on, Ahanjideh in [8] proved that Thompson's conjecture is true for some projective special linear groups.
Linear groups of volcanic islands are also seen along volcanic arcs parallel to convergent plate boundaries in the southwest Pacific from Tonga through Vanuatu to Solomon Islands.
The Baumslag Solitar groups (langle x,ymid x^y=x^krangle ), (kge 2), are examples of residually finite (even linear) groups with exponential Dehn function.
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A few things came to mind, but only one set of technologies created a sort of linear group capable of mentioning easily: vehicles.
Results showed children in nonlinear group performed superior to those of linear group in all four factors.
Two intact classes of 57 participants, the 3rd graders were randomly assigned and treated as linear group and nonlinear group.
Corollary 3.3 Thompson's conjecture holds for the projective special linear group L 2 ( p ), where p is a prime.
(L_n q)=PSL_n q)) denotes the projective special linear group of degree n over the field of order q.
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