Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A comparison of Chehata's and Clifford's ordinally simple ordered groups

Author: Todd Feil
Journal: Proc. Amer. Math. Soc. 79 (1980), 512-514
MSC: Primary 06F15; Secondary 20E32
MathSciNet review: 572291
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Chehata and Clifford gave the two most well-known examples of ordinally simple ordered groups. Chehata's example is also algebraically simple. These two examples are shown to be similar. Clifford's ordered group is shown to have a nonabelian algebraically simple subgroup.

References [Enhancements On Off] (What's this?)

  • [1] C. G. Chehata, An algebraically simple ordered group, Proc. London Math. Soc. (3) 2 (1952), 183-197. MR 0047031 (13:817b)
  • [2] -, On Clifford's ordinally simple group, J. Natur. Sci. and Math. 15 (1975), 79-82.
  • [3] A. H. Clifford, A non-commutative ordinally simple group, Proc. Amer. Math. Soc. 2 (1952), 902-903. MR 0045739 (13:625a)
  • [4] V. Dlab, On a family of simple ordered groups, J. Austral. Math. Soc. 8 (1968), 591-608. MR 0228397 (37:3978)
  • [5] G. Higman, On infinite simple groups, Publ. Math. Debrecen 3 (1954), 221-226. MR 0072136 (17:234d)
  • [6] B. H. Neumann, On ordered groups, Amer. J. Math. 71 (1949), 1-18. MR 0028312 (10:428a)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 06F15, 20E32

Retrieve articles in all journals with MSC: 06F15, 20E32

Additional Information

Article copyright: © Copyright 1980 American Mathematical Society

American Mathematical Society