English

Polyadic groups and automorphisms of cyclic extensions

Group Theory 2012-03-12 v1

Abstract

We show that for any nn-ary group (G,f)(G,f), the group Aut(G,f)Aut(G,f) can be embedded in Aut(Zn1G)Aut(\mathbb{Z}_{n-1}\ltimes G) and so we can obtain a class of interesting automorphisms of cyclic extensions.

Keywords

Cite

@article{arxiv.1203.2123,
  title  = {Polyadic groups and automorphisms of cyclic extensions},
  author = {M. Shahryari},
  journal= {arXiv preprint arXiv:1203.2123},
  year   = {2012}
}
R2 v1 2026-06-21T20:31:50.345Z