Polyadic groups and automorphisms of cyclic extensions
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2023-09-10 12:07
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SHAHRYARI, Mohammad. Polyadic groups and automorphisms of cyclic extensions. In: Quasigroups and Related Systems, 2012, vol. 20, nr. 2(28), pp. 275-281. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 20, Numărul 2(28) / 2012 / ISSN 1561-2848

Polyadic groups and automorphisms of cyclic extensions

Pag. 275-281

Shahryari Mohammad
 
University of Tabriz
 
 
Disponibil în IBN: 25 februarie 2014


Rezumat

We show that for any n-ary group (G, f), the group Aut(G, f) can be embedded in Aut(Zn−1 n G) and so we can obtain a class of interesting automorphisms of cyclic extensions.

Cuvinte-cheie
Polyadic group, covering group, semi-direct product, cyclic extensions