کوچکترین درجات نمایشهای شبهجایگشتی یکبهیک گروههای پوچتوان
الموضوعات :
1 - عضو هیات علمی-دانشگاه آزاد اسلامی واحد خوی
الکلمات المفتاحية: quasi-permutation representati, nilpotent group, irreducible character, Schur index, direct product of groups,
ملخص المقالة :
ماتریس شبهجایگشتی، ماتریسی نامنفرد روی میدان مختلط است که دارای اثر صحیح نامنفی باشد. ...
[1] Behravesh, H. (1997). The minimal degree of a faithful quasi–permutation representation of an abelian group. Glasgow Mathematical Journal, 39, 51-57.
[2] Behravesh, H. (1997). Quasi–permutation representations of -groups of class . Journal of London Mathematical Society, 55 (2), 251-260.
[3] Behravesh, H., & Ghaffarzadeh, G. (2011). Minimal degree of faithful quasi–permutation representations of -groups. Algebra Colloquium, 18 (Spec1), 843-846.
[4] Burns, J. M., & Goldsmith, B., & Hartley, B., & Sandling, R. (1994). On quasi–permutation representations of finite groups. Glasgow Mathematical Journal, 36, 301-308.
[5] Easdown, D., & Praeger, C. E. (1988). On minimal faithful permutation representations of finite groups. Bulletin of the Australian Mathematical Society, 38(2), 207–220.
[6] Ghaffarzadeh, G., & Abbaspour, M. H. (2012). Minimal degrees of faithful quasi–permutation representations for direct product of -groups. Proceedings–Mathematical Sciences, 122(3), 329-334.
[7] Isaacs, I. M. (1994). Algebra: A Graduate Course. Brocks/Cole Publishing. Pacific Grove, CA.
[8] Isaacs, I. M. (2006). Character Theory of Finite Groups. AMS Chelsea Publishing. RI, Providence.
[9] Johnson, D. L. (1971). Minimal permutation representations of finite groups, American Journal of Mathematics, 93(4). 857-866.
[10] Roman, S. (2006). Field Theory. Springer-Verlag, New York.
[11] Rose, J. S. (1978). A Course on Group Theory. Cambridge University Press.
[12] Wong, W. J. (1963). Linear groups analogous to permutation groups. Journal of the Australian Mathematical Society, 3(2), 180-184.
[13] Wong, W. J. (1964). On linear -groups, Journal of the Australian Mathematical Society, 4(2), 174-178.
[14] Wright, D. (1975). Degrees of minimal embeddings for some direct Products. American Journal of Mathematics, 97(4), 897-903.
