Infinite products of finite simple groups

Saxl, Jan; Shelah, Saharon; Thomas, Simon

doi:10.1090/S0002-9947-96-01746-1

Infinite products of finite simple groups

Authors: Jan Saxl, Saharon Shelah and Simon Thomas
Journal: Trans. Amer. Math. Soc. 348 (1996), 4611-4641
MSC (1991): Primary 20E15, 20A15; Secondary 03E35, 20D06, 20E08
DOI: https://doi.org/10.1090/S0002-9947-96-01746-1
MathSciNet review: 1376555
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Abstract: We classify the sequences $\langle S_{n} \mid n \in \mathbb {N} \rangle$ of finite simple nonabelian groups such that $\prod$ $_{n}$ $S_{n}$ has uncountable cofinality.

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Additional Information

Jan Saxl
Affiliation: Department of Pure Mathematics and Mathematical Statistics, Cambridge University, 16 Mill Lane, Cambridge CB2 1SB, England
Email: j.saxl@pmms.cam.ac.uk

Saharon Shelah
Affiliation: Department of Mathematics, The Hebrew University, Jerusalem, Israel
Address at time of publication: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
Email: shelah@sunset.ma.huji.ac.il

Simon Thomas
Affiliation: Department of Mathematics, Bilkent University, Ankara, Turkey
Address at time of publication: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
Email: sthomas@math.rutgers.edu

DOI: https://doi.org/10.1090/S0002-9947-96-01746-1
Received by editor(s): September 21, 1995
Additional Notes: The research of the second author was partially supported by the U.S.-Israel Binational Science Foundation. This paper is number 584 in the cumulative list of the second author’s publications.
The research of the third author was partially supported by NSF Grants.
Article copyright: © Copyright 1996 American Mathematical Society