The algebraic structure of group rings

The algebraic structure of group rings
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DOI:
10.1112/blms/11.3.362
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发表时间:
1977
期刊:
--
影响因子:
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通讯作者:
R. Brauer
R. Brauer
中科院分区:
其他
文献类型:
--
作者:
R. Brauer

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$m_{i}$ . Then $A_{i}$ has the rank $r_{i}q_{i}^{2}m_{i}^{2}$ over K. We shall call the numbers $n\ell_{i}$ the Sckur indice $s^{\neg}$ of $\mathfrak{G}$ , since they first occurred in the work of 1. $Sc/\iota ur$ on representations of $\mathfrak{G}$ by linear transformations. 2. The theory of representations of groups $of_{/}$ finite order was developed originally by Frobenius for the case that the coefficients of the representing linear transformations belong to an algebraically closed field of characteristic $i$). The case of an albitrary field $K$ of characteristic $0$
$m_{i}$ . Then $A_{i}$ has the rank $r_{i}q_{i}^{2}m_{i}^{2}$ over K. We shall call the numbers $n\ell_{i}$ the Sckur indice $s^{\neg}$ of $\mathfrak{G}$ , since they first occurred in the work of 1. $Sc/\iota ur$ on representations of $\mathfrak{G}$ by linear transformations. 2. The theory of representations of groups $of_{/}$ finite order was developed originally by Frobenius for the case that the coefficients of the representing linear transformations belong to an algebraically closed field of characteristic $i$). The case of an albitrary field $K$ of characteristic $0$