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Izv. RAN. Ser. Mat., 2019, Volume 83, Issue 4, Pages 194–225 (Mi izv8831)  

Three plots about Cremona groups

V. L. Popov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: The first group of results of the paper concerns the compressibility of finite subgroups of the Cremona groups. The second concerns the embeddability of other groups in the Cremona groups and, conversely, of the Cremona groups in other groups. The third concerns the connectedness of the Cremona groups.

Keywords: Cremona group, compressibility, Jordan property, connectedness.

Funding Agency Grant Number
Russian Science Foundation 19-11-00237
This work was done under a grant from the Russian Science Foundation (project no. 19-11-00237).


DOI: https://doi.org/10.4213/im8831

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English version:
Izvestiya: Mathematics, 2019, 83:4, 830–859

Bibliographic databases:

UDC: 512.745.4
MSC: 14E07
Received: 27.06.2019

Citation: V. L. Popov, “Three plots about Cremona groups”, Izv. RAN. Ser. Mat., 83:4 (2019), 194–225; Izv. Math., 83:4 (2019), 830–859

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  • Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya Izvestiya: Mathematics
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