Finite non-cyclic p-groups whose number of subgroups is minimal
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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let $g$ be a finite group. a subgroup $h$ of $g$ is called an $mathcal{h}$-subgroup in $g$ if $n_g(h)cap h^{g}leq h$ for all $gin g$. a subgroup $h$ of $g$ is called a weakly $mathcal{h}^{ast}$-subgroup in $g$ if there exists a subgroup $k$ of $g$ such that $g=hk$ and $hcap k$ is an $mathcal{h}$-subgroup in $g$. we investigate the structure of the finite group $g$ under the as...
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ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2019
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s00013-019-01376-9