Points of order $p$ of generic formal groups
نویسندگان
چکیده
منابع مشابه
Points of order p of generic formal groups
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we prove that for $p>7$ there are [ p^{4}+2p^{3}+20p^{2}+147p+(3p+29)gcd (p-1,3)+5gcd (p-1,4)+1246 ] groups of order $p^{8}$ with exponent $p$. if $p$ is a group of order $p^{8}$ and exponent $p$, and if $p$ has class $c>1$ then $p$ is a descendant of $p/gamma _{c}(p)$. for each group of exponent $p$ with order less than $p^{8} $ we calculate the number of descendants of o...
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Let $G$ be a finite $p$-group of order $p^n$ and $|{mathcal M}(G)|=p^{frac{1}{2}n(n-1)-t(G)}$, where ${mathcal M}(G)$ is the Schur multiplier of $G$ and $t(G)$ is a nonnegative integer. The classification of such groups $G$ is already known for $t(G)leq 6$. This paper extends the classification to $t(G)=7$.
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A well-known result of Green [4] shows for any finite p-group G of order p^n, there is an integer t(G) , say corank(G), such that |M(G)|=p^(1/2n(n-1)-t(G)) . Classifying all finite p-groups in terms of their corank, is still an open problem. In this paper we classify all finite abelian p-groups by their coranks.
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 1988
ISSN: 0373-0956
DOI: 10.5802/aif.1148