### Abstract

We prove that an analogue of Jordan's theorem on finite subgroups of general linear groups does not hold for the groups of birational automorphisms of products of an elliptic curve and the projective line. This gives a negative answer to a question posed by Vladimir L. Popov.

Original language | English (US) |
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Pages (from-to) | 299-304 |

Number of pages | 6 |

Journal | Proceedings of the Edinburgh Mathematical Society |

Volume | 57 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 2014 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

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*Proceedings of the Edinburgh Mathematical Society*, vol. 57, no. 1, pp. 299-304. https://doi.org/10.1017/S0013091513000862

**Theta groups and products of abelian and rational varieties.** / Zarkhin, Yuriy G.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Theta groups and products of abelian and rational varieties

AU - Zarkhin, Yuriy G.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - We prove that an analogue of Jordan's theorem on finite subgroups of general linear groups does not hold for the groups of birational automorphisms of products of an elliptic curve and the projective line. This gives a negative answer to a question posed by Vladimir L. Popov.

AB - We prove that an analogue of Jordan's theorem on finite subgroups of general linear groups does not hold for the groups of birational automorphisms of products of an elliptic curve and the projective line. This gives a negative answer to a question posed by Vladimir L. Popov.

UR - http://www.scopus.com/inward/record.url?scp=84897027128&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84897027128&partnerID=8YFLogxK

U2 - 10.1017/S0013091513000862

DO - 10.1017/S0013091513000862

M3 - Article

AN - SCOPUS:84897027128

VL - 57

SP - 299

EP - 304

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

SN - 0013-0915

IS - 1

ER -