Finite p-groups of nilpotency class 3 with two conjugacy class sizes
نویسندگان
چکیده
منابع مشابه
On the nilpotency class of the automorphism group of some finite p-groups
Let $G$ be a $p$-group of order $p^n$ and $Phi$=$Phi(G)$ be the Frattini subgroup of $G$. It is shown that the nilpotency class of $Autf(G)$, the group of all automorphisms of $G$ centralizing $G/ Fr(G)$, takes the maximum value $n-2$ if and only if $G$ is of maximal class. We also determine the nilpotency class of $Autf(G)$ when $G$ is a finite abelian $p$-group.
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متن کاملTWO GENERATOR p-GROUPS OF NILPOTENCY CLASS 2 AND THEIR CONJUGACY CLASSES
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2020
ISSN: 0021-2172,1565-8511
DOI: 10.1007/s11856-020-1990-3