Generalized flags in finite Abelian p-groups
نویسندگان
چکیده
منابع مشابه
Finite $p$-groups and centralizers of non-cyclic abelian subgroups
A $p$-group $G$ is called a $mathcal{CAC}$-$p$-group if $C_G(H)/H$ is cyclic for every non-cyclic abelian subgroup $H$ in $G$ with $Hnleq Z(G)$. In this paper, we give a complete classification of finite $mathcal{CAC}$-$p$-groups.
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It would be interesting to extend this result by allowing B to have nilpotence class 2 instead of necessarily being abelian. This cannot be done if p = 2 (Example 4.2), but perhaps it is possible for p odd. (It was done by the author ([Gor, p.274]; [HB, III, p.21]) for the special case in which p is odd and [B,B] ≤ A.) However, there is an application of Thompson’s Replacement Theorem that can ...
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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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a $p$-group $g$ is called a $mathcal{cac}$-$p$-group if $c_g(h)/h$ is cyclic for every non-cyclic abelian subgroup $h$ in $g$ with $hnleq z(g)$. in this paper, we give a complete classification of finite $mathcal{cac}$-$p$-groups.
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— In this paper, we study the minimal number of elements of maximal order within a zero-sumfree sequence in a finite Abelian p-group. For this purpose, in the general context of finite Abelian groups, we introduce a new number, for which lower and upper bounds are proved in the case of finite Abelian p-groups. Among other consequences, the method that we use here enables us to show that, if we ...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1991
ISSN: 0166-218X
DOI: 10.1016/0166-218x(91)90079-c