Nielsen Equivalence In Gupta-Sidki Groups

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).


Published in:
Proceedings Of The American Mathematical Society, 145, 8, 3331-3342
Year:
2017
Publisher:
Providence, Amer Mathematical Soc
ISSN:
0002-9939
Laboratories:




 Record created 2017-09-05, last modified 2018-03-17


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