> < ^ Date: Fri, 07 Dec 2001 01:22:05 -0800 (PST)
> ^ From: Alireza Abdollahi <alireza_abdollahi@yahoo.com >
> < ^ Subject: A question

In the name of God
Dear Gap Forum,
Hello to all
I have encountered to the following question:

Let $n>3$ be a postive integer and let $G=RX$ be an
extention of an elementary abelian $p$-group by an
abelian $p'$-subgroup $X$ such that $X$ acts
faithfully on $R$ and $R=[R,X]$ and $|[R,x]|\leq n$
for all $x\in X$. It can be proved that $|X|\leq n-1$
and  $|R|\leq n^{\log_2(n-2)}$.
 Is it true that $|R|\leq n^2$?

Thank you very much in advance for any help from you.

Sincerely Yours
Alireza Abdollahi

Alireza Abdollahi
Department of Mathematics
University of Isfahan,
Isfahan 81744,Iran
e-mail: alireza_abdollahi@yahoo.com
URL: http://www.abdollahi.8m.net

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