===================================================================
RCS file: /home/cvs/OpenXM/doc/compalg/factor.tex,v
retrieving revision 1.3
retrieving revision 1.4
diff -u -p -r1.3 -r1.4
--- OpenXM/doc/compalg/factor.tex	2000/03/28 02:02:29	1.3
+++ OpenXM/doc/compalg/factor.tex	2000/10/03 01:23:58	1.4
@@ -1,4 +1,4 @@
-%$OpenXM$
+%$OpenXM: OpenXM/doc/compalg/factor.tex,v 1.3 2000/03/28 02:02:29 noro Exp $
 \chapter{$BB?9`<0$N0x?tJ,2r(B}
 
 \section{$BM-8BBN(B}
@@ -411,7 +411,7 @@ $\GCD(\Tr(e),f) = 1 \Leftrightarrow$ $B$9$Y$F$N(B $i
 \end{center}
 $s \in GF(q)$ $B$H$9$k;~(B, $\Tr(s) \equiv 0, 1$ $B$J$k85$O$=$l$>$l(B $q/2$ $B8D(B. 
 $B$h$C$F(B, $\GCD(\Tr(e),f) = f$, $\GCD(\Tr(e),f) = 1$ $B$J$k3NN((B
-$B$O$=$l$>$l(B $1/2^k$ $B8D$H$J$k(B. \qed\\
+$B$O$=$l$>$l(B $1/2^k$ $B$H$J$k(B. \qed\\
 $B$3$l$i$r$b$H$K(B, $B<!$N$h$&$J%"%k%4%j%:%`$rF@$k(B. 
 
 \begin{al}(Cantor-Zassenhaus{\rm\cite{CZ}})
@@ -493,7 +493,7 @@ $q=p^n$ $B$G(B $p$ $B$,4qAG?t$H$9$k(B. $f=f_1f_2$ 
 $B$D$N(B $d$ $B<!4{Ls0x;R$H$9$k(B. $GF(q)$ $B>e$N(B $B9b!9(B $2d-1$ $B<!<0(B $g$ $B$r%i%s%@%`$KA*(B
 $B$V$H$-(B, 
 $\GCD(g^{(q^d-1)/2}-1,f)=f_1$ $B$^$?$O(B $f_2$
-$B$H$J$k3NN($O(B $1-1/(2q^d)$.
+$B$H$J$k3NN($O(B $1/2-1/(2q^d)$.
 \end{pr}
 \proof
 $f_1$, $f_2$ $B$,(B $d$ $B<!4{Ls$h$j(B, 
@@ -513,7 +513,7 @@ GF(q^d)\bigoplus GF(q^d)$ $B$N85$KBP$7(B, $BB?9`<0$
 $B$h$C$F(B, $2d-1$ $B0J2<$NB?9`<0(B $q^{2d}$ $B8D$N$&$A(B,
 $\GCD(g^{(q^d-1)/2}-1,f)=f_1$ $B$^$?$O(B $f_2$ $B$H$J$k$N$O(B, 
 $$2(q^d-1)/2\cdot (q^d+1)/2 = (q^{2d}-1)/2$$
-$B8D$G$"$j(B, $B3NN($O(B $1-1/(2q^{2d}).$ \qed
+$B8D$G$"$j(B, $B3NN($O(B $1/2-1/(2q^{2d}).$ \qed
 
 \begin{pr}
 $q=2^n$ $B$H$9$k(B. $f=f_1f_2$ $B$G(B$f_1$, $f_2$ $B$,(B $f$ $B$N(B 2