Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2025-01-03T20:40:23.009Z Has data issue: false hasContentIssue false
  • English
  • Français

Normalizer of parabolic aubgroups in unitary reflection groups

Published online by Cambridge University Press:  17 April 2009

Krishnasamy Muraleedaran
Krishnasamy Muraleedaran
Affiliation:
Department of Maths UGRU, United Arab Emirates University, Al-Ain, United Arab Emirates, e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Abstracts of Australasian Ph.D. Theses
Information
Bulletin of the Australian Mathematical Society , Volume 75 , Issue 1 , February 2007 , pp. 153 - 155
Copyright
Copyright © Australian Mathematical Society 2007

References

[1]Broué, M. and Michel, J., ‘Towards spetses. I’, Transform. Groups 4 (1999), 157–219.CrossRefGoogle Scholar
[2]Cameron, P.J., Boethals, J.M., Seidel, J.J. and Shult, E.E., ‘Line graph, root system and elliptic geometry’, J. Algebra 43 (1076), 305–327.Google Scholar
[3]Cohen, A.M., ‘Finite complex reflection groups’, Ann. Sci. École Norm. Sup. (4) 9 (1976), 379–436.CrossRefGoogle Scholar
[4]Cohen, A.M., ‘Erratum: Finite complex reflection groups’, Ann. Sci. École Norm. Sup. (4) 11 (1978), 613.CrossRefGoogle Scholar
[5]Coxeter, H.S.M., ‘Finite groups generated by unitary reflections’, Abh. Math. Sem. Univ. Hamburg 31 (1967), 125–135.Google Scholar
[6]Howlett, R.B., ‘Normalizers of parabolic subgroups of reflection groups’, J. London Math. Soc. (2) 21 (1980), 62–80.Google Scholar
[7]Howlett, R.B. and Shi, J.-Y., ‘On regularity of finite reflection groups’, Manuscripta Math. 102 (2000), 325–333.CrossRefGoogle Scholar
[8]Hughes, M.C., ‘Complex reflection groups’, Comm. Algebra 18 (1990), 3999–4029.CrossRefGoogle Scholar
[9]Lehrer, B.I. and Springer, T.A., ‘Reflection subquotients of unitary reflection groups’, Canad. J. Math. 51 (1999), 1175–1193.Google Scholar
[10]Mak, C.K., ‘Quasi-paraboic subroups of g(m, l, r)’, J. Algebra 246 (2001), 471–490.Google Scholar
[11]Mitchell, H.H., ‘Determination of all primitive collineation groups in more than four variables which contain homologies’, Amer. J. Math. 36 (1914), 1–12.Google Scholar
[12]Orlik, P. and Solomon, L., ‘Arrangements defined by unitary reflection groups’, Math. Ann. 261 (1982), 339–357.Google Scholar
[13]Shephard, G.C., ‘Unitary groups generatted by reflections’, Canad. J. Math. 5 (1953), 364–383.Google Scholar
[14]Shephard, G.C. and Todd, J.A., ‘Finite unitary reflection groups’, Canad. J. Math. 6 (1954), 274–304.CrossRefGoogle Scholar
[15]Springer, T.A., ‘Regular elements of reflection groups’, Invent. Math. 25 (1974), 159–198.Google Scholar