Geodesic
On generation of the symmetric or the alternating group by two cycles
Czesław Bagiński1 ; Grzegorz Gromadzki2
1 Faculty of Computer Science Białystok University of Technology 15-351 Białystok, Poland
2 Institute of Mathematics University of Gdańsk 80-952 Gdańsk, Poland
Colloquium Mathematicum, Tome 150 (2017) no. 2, pp. 161-174

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study the question which pairs of cycles generate the alternating or the symmetric group. We give some sufficient conditions for that, which are also frequently necessary. Furthermore, we also characterize a certain class of involutive automorphisms of such groups. The paper has a combinatorial character but the problems are motivated by geometry.
DOI : 10.4064/cm7090-10-2016
Keywords: study question which pairs cycles generate alternating symmetric group sufficient conditions which frequently necessary furthermore characterize certain class involutive automorphisms groups paper has combinatorial character problems motivated geometry

Czesław Bagiński 1 ; Grzegorz Gromadzki 2

1 Faculty of Computer Science Białystok University of Technology 15-351 Białystok, Poland
2 Institute of Mathematics University of Gdańsk 80-952 Gdańsk, Poland 
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Czesław Bagiński; Grzegorz Gromadzki. On generation of the symmetric or the alternating group by two cycles. Colloquium Mathematicum, Tome 150 (2017) no. 2, pp. 161-174. doi: 10.4064/cm7090-10-2016

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