Every reasonably sized matrix group is a subgroup of S∞

Fundamenta Mathematicae

Volumn 164, Issue 1, 2000, Pages 35-40

  Kallman, Robert R ^a  

^a UNIVERSITY OF NORTH TEXAS   (United States)

Author keywords

Field extensions; Infinite symmetric group; Matrix groups; Nonarchimedian absolute values; Topological groups

Indexed keywords

EID: 0034366309     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: 10.4064/fm-164-1-35-40     Document Type: Article

References (13)

1. E. Artin, Algebraic Numbers and Algebraic Functions, Gordon and Breach, New York, 1967.
2. N. Bourbaki, Commutative Algebra, Addison-Wesley, Reading, MA, 1972.
3. N. G. de Bruijn, Embedding theorems for infinite groups, Indag. Math. 19 (1957), 560-569; Konink. Nederl. Akad. Wetensch. Proc. 60 (1957), 560-569.
4. N. G. de Bruijn, Embedding theorems for infinite groups, Indag. Math. 19 (1957), 560-569; Konink. Nederl. Akad. Wetensch. Proc. 60 (1957), 560-569.
5. J. Dieudonné, La géométrie des groupes classiques, 2nd ed., Springer, Berlin, 1963.
6. J. D. Dixon, P. M. Neumann and S. Thomas, Subgroups of small index m infinite symmetric groups, Bull. London Math. Soc. 18 (1986), 580-586.
7. N. Jacobson, Basic Algebra II, W. H. Freeman, San Francisco, 1980.
8. I. Kaplansky, Fields and Rings, 2nd ed., Univ. of Chicago Press, Chicago, 1973.
9. R. D. Mauldin (ed.), The Scottish Book, Birkhäuser, Boston, 1981.
10. J. Schreier und S. M. Ulam, Über die Permutationsgruppe der natürlichen Zahlenfolge, Studia Math. 4 (1933), 134-141.
11. J.-P. Serre, Lie Algebras and Lie Groups, W. A. Benjamin, New York, 1965.
12. S. M. Ulam, A Collection of Mathematical Problems, Wiley, New York, 1960.
13. _, Problems in Modern Mathematics, Wiley, New York, 1964.