Closed symmetric overgroups of Sn in On

Canadian Mathematical Bulletin

Volumn 39, Issue 1, 1996, Pages 83-94

  Li, Chi Kwong ^a   Whitney, Wayne ^b  

^a Dept of Economics and Thomas Jefferson Program in Public Policy at the College of William and Mary   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Isometry; Permutation invariant norm; Reflection groups

Indexed keywords

EID: 0030478904     PISSN: 00084395     EISSN: None     Source Type: Journal    
DOI: 10.4153/CMB-1996-011-7     Document Type: Article

References (9)

1. [Ba] E. Bannai, On some finite subgroups of GL(n, Q), J. Fac. Sci. Univ. Tokyo Sect. IA Math. 20(1973), 319-340.
2. [BG] C. T. Benson and L. C. Grove, Finite Reflection Groups, Springer-Verlag, New York, 1985.
3. [Bo] N. Bourbaki, Groupes et Algèbres de Lie, Chap. 4-6, Hermann, Paris, 1968.
4. [Bu] W. Burnside, The determination of all groups of rational linear groups of finite order which contain the symmetric group in the variables, Proc. London Math. Soc. (Series 2) 10(1912), 284-308.
5. [DLR] D. Ž. Doković, C. K. Li and L. Rodman, Isometries for symmetric gauge functions, Linear and Multilinear Algebra 30(1991), 81-92.
6. [GLe] Y. Gordon and D. R. Lewis, Isometries of Diagonally Symmetric Banach Spaces, Israel J. Math. 28 (1977), 45-67.
7. [GLo] Y. Gordon and R. Loewy, Uniqueness of (Δ) Bases and Isometries of Banach Spaces, Math. Ann. 241(1979), 159-180.
8. [LM] C. K. Li and P. Mehta, Permutation Invariant Norms, Linear Algebra Appl.
9. [ST] H. Schneider and R. E. L. Turner, Matrices hermitian for an absolute norm, Linear and Multilinear Algebra 1(1973), 9-31.