On quasivarities of groups and equations over groups

Details On quasivarities of groups and equations over groups On quasivarities of groups and equations over groups

2002-10-13

arxiv.org/abs/math/0210192v1

Mathematics

Group Theory

7 pages

Scientific paper

We prove that the quasivariety of groups generated by finite and locally indicable groups does not contain the class of periodic groups. This result is related to (and inspired by) the solvability of equations over groups. The proof uses the Feit-Thompson theorem on the solvability of finite groups of odd order, Kostrikin-Zelmanov results on the restricted Burnside problem and applies techninal details of a recent construction of weakly finitely presented periodic groups.

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