NIELSEN EQUIVALENCE IN GUPTA-SIDKI GROUPS

作者：Myropolska Aglaia^*

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145(8): 3331-3342.

DOI：10.1090/proc/13612

For a group G generated by k elements, the Nielsen equivalence classes are defined as orbits of the action of AutF(k), the automorphism group of the free group of rank k, on the set of generating k-tuples of G.
Let p >= 3 be prime and G(p) the Gupta-Sidki p-group. We prove that there are infinitely many Nielsen equivalence classes on generating pairs of G(p).

• 出版日期2017-8