The Cartan ring of a finite group

The Cartan ring of a finite group
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DOI:
10.1016/j.jalgebra.2004.06.032
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发表时间:
2005
期刊:
影响因子:
0.9
通讯作者:
Robert Boltje;B. Külshammer
Robert Boltje;B. Külshammer
中科院分区:
数学3区
文献类型:
--
作者:
Robert Boltje;B. Külshammer

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我们确定了有限群G的Cartan环的结构,定义为G的模G的由投射模生成的理想的Grothendieck环,并证明了G的p-子群Q的所有相对q-投射模产生的Cartan环的理想。
We determine the structure of the Cartan ring of a finite group G, defined as the Grothendieck ring of G modulo its ideal generated by projective modules, and we identify the ideal of the Cartan ring arising from all relatively Q-projective modules for a p-subgroup Q of G.