Linearly ordered group (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Linearly ordered group" in English language version.

Last modified: 09:40:14, 6 September 2026 (UTC)

Ref.Un. Ref.Website

Global rank English rank

49^th place

31^st place

2^nd place

2,089^th place

1,141^st place

15^th place

8^th place

23^rd place

15^th place

arxiv.org (Global: 49^th place; English: 31^st place)

Deroin, Navas & Rivas 2014, 1.1.1. Deroin, Bertrand; Navas, Andrés; Rivas, Cristóbal (2014). "Groups, orders and dynamics". arXiv:1408.5805 [math.GT].
Deroin, Navas & Rivas 2014, 1.2.1. Deroin, Bertrand; Navas, Andrés; Rivas, Cristóbal (2014). "Groups, orders and dynamics". arXiv:1408.5805 [math.GT].
Deroin, Navas & Rivas 2014, 1.4.1. Deroin, Bertrand; Navas, Andrés; Rivas, Cristóbal (2014). "Groups, orders and dynamics". arXiv:1408.5805 [math.GT].
Boyer, Steven; Rolfsen, Dale; Wiest, Bert (2005). "Orderable 3-manifold groups". Annales de l'Institut Fourier. 55 (1): 243–288. arXiv:math/0211110. doi:10.5802/aif.2098. Zbl 1068.57001.
Deroin, Navas & Rivas 2014, Proposition 1.1.8. Deroin, Bertrand; Navas, Andrés; Rivas, Cristóbal (2014). "Groups, orders and dynamics". arXiv:1408.5805 [math.GT].
Deroin, Bertrand; Hurtado, Sebastian (2020). "Non left-orderability of lattices in higher rank semi-simple Lie groups". arXiv:2008.10687 [math.GT].

For abelian groups see Def. 6 in Melnikov, Alexander G. (2010). Computable ordered abelian groups and fields. Programs, proofs, processes. 6th conference on computability in Europe, CiE 2010. Lecture Notes in Computer Science. Vol. 6158. Ponta Delgada, Azores, Portugal: Springer. pp. 321–330.
Levi 1942. Levi, F.W. (1942), "Ordered groups.", Proc. Indian Acad. Sci., A16 (4) 256: 256–263, doi:10.1007/BF03174799, S2CID 198139979
Duchamp, Gérard; Thibon, Jean-Yves (1992). "Simple orderings for free partially commutative groups". International Journal of Algebra and Computation. 2 (3): 351–355. doi:10.1142/S0218196792000219. Zbl 0772.20017.
Boyer, Steven; Rolfsen, Dale; Wiest, Bert (2005). "Orderable 3-manifold groups". Annales de l'Institut Fourier. 55 (1): 243–288. arXiv:math/0211110. doi:10.5802/aif.2098. Zbl 1068.57001.
Bergman, George (1991). "Right orderable groups that are not locally indicable". Pacific Journal of Mathematics. 147 (2): 243–248. doi:10.2140/pjm.1991.147.243. Zbl 0677.06007.
Witte, Dave (1994). "Arithmetic groups of higher \(\mathbb{Q}\)-rank cannot act on \(1\)-manifolds". Proceedings of the American Mathematical Society. 122 (2): 333–340. doi:10.2307/2161021. JSTOR 2161021. Zbl 0818.22006.

Witte, Dave (1994). "Arithmetic groups of higher \(\mathbb{Q}\)-rank cannot act on \(1\)-manifolds". Proceedings of the American Mathematical Society. 122 (2): 333–340. doi:10.2307/2161021. JSTOR 2161021. Zbl 0818.22006.

Levi 1942. Levi, F.W. (1942), "Ordered groups.", Proc. Indian Acad. Sci., A16 (4) 256: 256–263, doi:10.1007/BF03174799, S2CID 198139979

Duchamp, Gérard; Thibon, Jean-Yves (1992). "Simple orderings for free partially commutative groups". International Journal of Algebra and Computation. 2 (3): 351–355. doi:10.1142/S0218196792000219. Zbl 0772.20017.
Boyer, Steven; Rolfsen, Dale; Wiest, Bert (2005). "Orderable 3-manifold groups". Annales de l'Institut Fourier. 55 (1): 243–288. arXiv:math/0211110. doi:10.5802/aif.2098. Zbl 1068.57001.
Bergman, George (1991). "Right orderable groups that are not locally indicable". Pacific Journal of Mathematics. 147 (2): 243–248. doi:10.2140/pjm.1991.147.243. Zbl 0677.06007.
Witte, Dave (1994). "Arithmetic groups of higher \(\mathbb{Q}\)-rank cannot act on \(1\)-manifolds". Proceedings of the American Mathematical Society. 122 (2): 333–340. doi:10.2307/2161021. JSTOR 2161021. Zbl 0818.22006.