Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-12-01T02:35:28.447Z Has data issue: false hasContentIssue false
  • English
  • Français

Representations of finite abelian groups Cnm,p

Published online by Cambridge University Press:  18 May 2009

M. Saeed-ul-Islam
M. Saeed-ul-Islam
Affiliation:
Department of Mathematics, Bahauddin Zakariya University, MultanPakistan
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let C= CmXCmX…XCm be the finite abelian group of order mn generated by n elements w1…,wn of order m. Let C be the field of complex numbers and P a projective representation of G with factor set α over C (see Morris [2]). Further let

and

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 26 , Issue 2 , July 1985 , pp. 133 - 140
Copyright
Copyright © Glasgow Mathematical Journal Trust 1985

References

REFERENCES

1.Isaacs, I. M., Character Theory of Finite Groups (Academic Press, 1976).Google Scholar
2.Morris, A. O., Projective representations of abelian groups, J. London Math. Soc. (2) 7 (1973), 235–238.CrossRefGoogle Scholar
3.Read, E. W., The projective representations of the generalized symmetric group, J. Algebra, 46 (1977), 102–133.CrossRefGoogle Scholar
4.Read, E. W., On the finite imprimitive unitary reflection groups, J. Algebra 45 (1977), 439–452.CrossRefGoogle Scholar
5.Read, E. W., On the Schur multipliers of the finite imprimitive unitary reflection groups G(m, p, n), J. London Math. Soc. (2) 13 (1976), 150–154.CrossRefGoogle Scholar
6.Saeed-ul-Islam, M., The projective representations of finite imprimitive unitary reflection groups, Ph.D. thesis, University College of Wales, Aberystwyth, U.K. (1980).Google Scholar
7.Saeed-ul-Islam, M., The irreducible projective representations of finite imprimitive unitary reflection groups, to appear.Google Scholar