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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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