Semidirect extensions of the Klein group leading to automorphic loops of exponent 2
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2017-03-17 13:30
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JEDLICKA, Premysl. Semidirect extensions of the Klein group leading to automorphic loops of exponent 2. In: Quasigroups and Related Systems, 2015, vol. 23, nr. 2(34), pp. 237-242. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 23, Numărul 2(34) / 2015 / ISSN 1561-2848

Semidirect extensions of the Klein group leading to automorphic loops of exponent 2
CZU: 512.541.5

Pag. 237-242

Jedlicka Premysl
 
Universitatea Cehă de Ştiinţe ale Naturii din Praga
 
 
Disponibil în IBN: 6 mai 2016


Rezumat

In this paper we study automorphic loops of exponent 2 which are semidirect products of the Klein group with an elementary abelian group. It turns out that they fall into two classes: extensions of index 2 and extension using a symmetric bilinear form.