Embeddings and units of Burnside rings

被引:1
|
作者
Valero-Elizondo, Luis [1 ]
机构
[1] Univ Michoacana, Fac Ciencias Fisico Matemat, Morelia, Michoacan, Mexico
来源
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2023年 / 29卷 / 01期
关键词
Burnside ring; Embedding; Idempotent; Solubility;
D O I
10.1007/s40590-022-00483-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study embeddings of Burnside rings. We define a special kind of element in the Burnside ring that arises from embeddings of Burnside rings of cyclic groups of prime order. We study the case of the prime 2 and relate this with the concept of solubility and the Feit-Thompson Theorem. We also mention a connection with the units of the Burnside ring.
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页数:9
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