منابع مشابه
Finite groups have even more centralizers
For a finite group $G$, let $Cent(G)$ denote the set of centralizers of single elements of $G$. In this note we prove that if $|G|leq frac{3}{2}|Cent(G)|$ and $G$ is 2-nilpotent, then $Gcong S_3, D_{10}$ or $S_3times S_3$. This result gives a partial and positive answer to a conjecture raised by A. R. Ashrafi [On finite groups with a given number of centralizers, Algebra Collo...
متن کاملfinite groups have even more centralizers
for a finite group $g$, let $cent(g)$ denote the set of centralizers of single elements of $g$. in this note we prove that if $|g|leq frac{3}{2}|cent(g)|$ and $g$ is 2-nilpotent, then $gcong s_3, d_{10}$ or $s_3times s_3$. this result gives a partial and positive answer to a conjecture raised by a. r. ashrafi [on finite groups with a given number of centralizers, algebra collo...
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ژورنال
عنوان ژورنال: Nature Reviews Genetics
سال: 2006
ISSN: 1471-0056,1471-0064
DOI: 10.1038/nrg1846