On characteristic polynomials of formal groups over finite fields

被引：0

作者：

Nakamura, T

机构：

[1] Mathematical Institute, Tohoku University

来源：

MATHEMATISCHE NACHRICHTEN | 1997年 / 188卷

关键词：

formal group; finite field; Frobenius endomorphism;

D O I：

10.1002/mana.19971880115

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Generalizing the results of SERRE, HILL and KOCH, we give some classification theorems of higher dimensional simple formal groups over finite fields. A relation between endomorphism rings of formal groups over Z(p) and characteristic polynomials of their reductions mod p is studied. A condition of existence of formal groups over Z(p) with complex multiplication is given. Some formal groups over Z(p) are also constructed.

引用

页码：289 / 299

页数：11

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[2]

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[3]

Frohlich Albrecht, 1968, LECT NOTES MATH, V74

[4]

HAZEWINKEL M, 1978, FORMAL GROUPS APPLIC