Department of Mathematics and Statistics at the Faculty of Science
University of Calgary
Hanafi K. Farahat
- Retired Professor
Publications
Book
- Farahat, Hanafi K.. Homological dimension and abelian groups Springer, 1977. 379-383. Lecture Notes in Math., Vol. 616. Print.
Journal Article
- Farahat, Hanafi K.. "Polynomial functions and representations". , 121. (1986): 143-146. Print.
- Farahat, Hanafi K.. "Additions compatible with multiplication". The Rocky Mountain Journal of Mathematics 12.2 (1982): 299-303. Print.
- Farahat, Hanafi K. and Peel, M. H.. "On the representation theory of the symmetric groups". Journal of Algebra 67.2 (1980): 280-304. Print.
- Farahat, Hanafi K., M{\"u}ller, W. and Peel, M. H.. "The modular characters of the symmetric groups". Journal of Algebra 40.2 (1976): 354-363. Print.
- Douglas, A. J. and Farahat, Hanafi K.. "The homological dimension of an abelian group as a module over its ring of endomorphisms. {III}". Monatshefte f\"ur Mathematik 80.1 (1975): 37-44. Print.
- Lancaster, Peter and Farahat, Hanafi K.. "Norms on direct sums and tensor products". Mathematics of Computation 26. Birkhauser, (1972): 401-414. Print.
- Douglas, A. J. and Farahat, Hanafi K.. "The homological dimension of an abelian group as a module over its ring of endomorphisms. {II}". Monatshefte f\"ur Mathematik 76. (1972): 109-111. Print.
- Farahat, Hanafi K.. "Sets of linearly independent permutation matrices". Journal of the London Mathematical Society. Second Series 2. (1970): 696-698. Print.
- Farahat, Hanafi K.. "Dependence of a matrix on its characteristic polynomial". Monatshefte f\"ur Mathematik 72. (1968): 200-211. Print.
- Farahat, Hanafi K.. "The semigroup of doubly-stochastic matrices". Proc. Glasgow Math. Assoc. 7. (1966): 178-183 (1966). Print.
- Farahat, Hanafi K.. "The matrix equation {$A\sp{\ast} =XA=AX$}". J. London Math. Soc. 41. (1966): 513-516. Print.
- Farahat, Hanafi K.. "The multiplicative groups of a ring". Mathematische Zeitschrift 87. (1965): 378-384. Print.
- Douglas, A. J. and Farahat, Hanafi K.. "The homological dimension of an {A}belian group as a module over its ring of endomorphisms". Monatshefte f\"ur Mathematik 69. (1965): 294-305. Print.
- Farahat, Hanafi K.. "Note on a paper of {T}suzuku". Proc. Glasgow Math. Assoc. 6. (1964): 196-197 (1964). Print.
- Farahat, Hanafi K.. "On the natural representation of the symmetric groups". Proc. Glasgow Math. Assoc. 5. (1962): 121-136 (1962). Print.
- Farahat, Hanafi K.. "The symmetric group as metric space". J. London Math. Soc. 35. (1960): 215-220. Print.
- Farahat, Hanafi K. and Mirsky, L.. "Permutation endomorphisms and refinement of a theorem of {B}irkhoff". Proc. Cambridge Philos. Soc. 56. (1960): 322-328. Print.
- Farahat, Hanafi K. and Higman, G.. "The centres of symmetric group rings". Proc. Roy. Soc. London Ser. A 250. (1959): 212-221. Print.
- Farahat, Hanafi K. and Ledermann, W.. "Matrices with prescribed characteristic polynomials". Proc. Edinburgh Math. Soc. 11. (1958/1959): 143-146. Print.
- Farahat, Hanafi K.. "On {S}chur functions". Proc. London Math. Soc. (3) 8. (1958): 621-630. Print.
- Farahat, Hanafi K. and Mirsky, L.. "Group membership in rings of various types". Math. Z 70. (1958): 231-244. Print.
- Farahat, Hanafi K.. "A note on the classical canonical form". J. London Math. Soc. 32. (1957): 178-180. Print.
- Farahat, Hanafi K. and Mirsky, L.. "A condition for diagonability of matrices". The American Mathematical Monthly 63. (1956): 410-412. Print.
- Farahat, Hanafi K.. "On the blocks of characters of symmetric groups". Proc. London Math. Soc. (3) 6. (1956): 501-517. Print.
- Farahat, Hanafi K.. "On the representations of the symmetric group". Proc. London Math. Soc. (3) 4. (1954): 303-316. Print.
- Farahat, Hanafi K.. "On {$p$}-quotients and star diagrams of the symmetric group". Proc. Cambridge Philos. Soc. 49. (1953): 157-160. Print.
- Farahat, Hanafi K.. "On {$p$}-quotients and star diagrams of the symmetric group". Proc. Cambridge Philos. Soc. 48. (1952): 737-740. Print.
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