A note on powers in simple groups

Mathematical Proceedings of the Cambridge Philosophical Society

Volumn 122, Issue 1, 1997, Pages 91-103

  Saxl, Jan ^a   Wilson, John S ^b  

^a GONVILLE AND CAIUS COLLEGE   (United Kingdom)

^b UNIVERSITY OF BIRMINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21744454030     PISSN: 03050041     EISSN: None     Source Type: Journal    
DOI: 10.1017/s030500419600165x     Document Type: Article

References (23)

1. J. BENEDETTO. Spectral synthesis (Teubner, 1975).
2. J. BOIDOL, H. LEPTIN, J. SCHÜRMANN and D. VAHLE. Räume primitiver Ideale von Gruppenalgebren. Math. Ann. 236 (1978), 1-13.
3. A. L. CAREY and W. MORAN. Characters of nilpotent groups. Math. Proc. Camb. Phil. Soc. 96 (1984), 123-137.
4. S. GROSSER and M. MOSKOWITZ. On central topological groups. Trans. Amer. Math. Soc. 127 (1967), 317-340.
5. Y. GUIVARCH. Croissance polynomiale et périodes des fonctions harmoniques. Bull. Soc. Math. France 101 (1978), 333-379.
6. W. HAUENSCHILD and E. KANIUTH. The generalized Wiener theorem for groups with finite dimensional irreducible representations. J. Funct. Anal. 31 (1979), 13-23.
7. W. HAUENSCHILD and J. LUDWIG. The injection and the projection theorem for spectral sets. Monatsh. Math. 92 (1981), 167-177.
8. H. HELSON. Spectral synthesis of bounded functions. Ark. Mat. 1 (1952), 497-502.
9. E. HEWITT and K. A. Ross. Abstract Harmonic Analysis II (Springer-Verlag, 1970).
10. H. J. HEY and J. LUDWIG. Der Satz von Helson-Reiter für spezielle nilpotente Lie-Gruppen. Math. Ann. 239 (1979), 207-218.
11. E. KANIUTH. Topology in duals of SIX-groups. Math. Z. 134 (1973), 67-80.
12. E. KANIUTH. Ideals in group algebras of finitely generated FC-nilpotent discrete groups. Math. Ann. 248 (1980), 97-108.
13. E. KANIUTH and R. LASSER. Zum verallgemeinerten Wienerschen Satz für diskrete nilpotente Gruppen der Klasse 3. Math. Z. 163 (1978), 39-55.
14. A. G. KUROSH. The theory of groups II (Chelsea, 1956).
15. J. LUDWIG. A class of symmetric and a class of Wiener group algebras. J. Funct. Anal. 31 (1979), 187-194.
16. J. LUDWIG. Polynomial growth and ideals in group algebras. Manuscr. Math. 30 (1980), 215-221.
17. J. LUDWIG. On the spectral synthesis problem for points in the dual of a nilpotent Lie group. Ark. Math. 21 (1983), 127-144.
18. P. MALLIAVIN. Impossibilité de la synthèse spectrale sur les groupes abéliens non compacts. Inst. Hautes Ét. Sci. Publ. Math. 2 (1959), 61-68.
19. 1 primitive ideal spaces. Studia Math. 71 (1982), 271-275.
20. H. REITER. Investigations in harmonic analysis. Trans. Amer. Math. Soc. 73 (1952), 401-427.
21. H. REITER. Classical harmonic analysis and locally compact groups (Clarendon Press, 1968).
22. 1-algebras and Segal algebras. Lecture Notes in Math. 231 (Springer-Verlag, 1971).
23. E. THOMA. Über unitäre Darstellungen abzählbarer diskreter Gruppen. Math. Ann. 153 (1964), 111-138.