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On zero patterns of characters of finite groups | ||
| International Journal of Group Theory | ||
| مقاله 4، دوره 3، شماره 4، اسفند 2014، صفحه 27-31 اصل مقاله (582.14 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2014.4952 | ||
| نویسندگان | ||
| Jinshan Zhang* 1؛ Guangju Zeng2؛ Zhencai Shen3 | ||
| 1School of Science, Sichuan University of Science and Engineering, Zigong, 643000, P. R. China | ||
| 2Sichuan University of Science and Engineering | ||
| 3China Agricultural University | ||
| چکیده | ||
| The aim of this note is to characterize the finite groups in which all non-linear irreducible characters have distinct zero entries number. | ||
| کلیدواژهها | ||
| Finite groups؛ characters؛ zeros of characters | ||
| مراجع | ||
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I. M. Isaacs (1976) Character theory of finite groups Academic Prees, New York
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P. P. Pacutealfy (1981) Groups with two non-linear irreducible representations Ann. Uni. Sci. Budapest. E\"{o}tv\"{o}s Sect. Math. 24, 181-192
Y. C. Ren and X. Y. Li (2000) The action of the linear character group on the set of non-linear irreducible characters Chinese Ann. Math. Ser. B 21, 511-524
J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Park and R. A. Wilson (1985) Atlas of finite groups Oxford University Press, Eynsham
J. S. Zhang, Z. C. Shen and S. L. Wu (2013) A note on the number of zeros in the columns of the character table of a group J. Algebra Appl. 12, 1-10
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