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The unit group of algebra of circulant matrices | ||
| International Journal of Group Theory | ||
| مقاله 2، دوره 3، شماره 4، اسفند 2014، صفحه 13-16 اصل مقاله (265.69 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2014.4776 | ||
| نویسندگان | ||
| Neha Makhijani* 1؛ R. K. Sharma2؛ J. B. Srivastava2 | ||
| 1Indian Institute of Technology Delhi Hauz Khas, New Delhi-110016 India | ||
| 2Indian Institute of Technology Delhi Hauz Khas, New Delhi India | ||
| چکیده | ||
| Let $Cr_{n}(F)$ denote the algebra of $n\times n$ circulant matrices over the field $F$. In this paper, we study the unit group of $Cr_{n}(\mathbb{F}_{p^{m}})$, where $\mathbb{F}_{p^{m}}$ denotes the Galois field of order $p^{m},~p$ prime. | ||
| کلیدواژهها | ||
| group algebra؛ Unit Group؛ Circulant Matrices | ||
| مراجع | ||
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R. K. Sharma and P. Yadav (2013) Unit group of algebra of circulant matrices Int. J. Group Theory 2 (4), 1-6
R. K. Sharma, P. Yadav and K. Joshi (2012) Units in Z_2 (C_2\times D_{\infty}) Int. J. Group Theory 1 (4), 33-41
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