diff --git a/doc/coreutils.texi b/doc/coreutils.texi
index a02e8d73b..455930746 100644
--- a/doc/coreutils.texi
+++ b/doc/coreutils.texi
@@ -18354,18 +18354,30 @@ The first form of the @command{kill} command succeeds if every @var{pid}
 argument specifies at least one process that the signal was sent to.
 
 The second form of the @command{kill} command lists signal information.
-Either the @option{-l} or @option{--list} option, or the @option{-t}
-or @option{--table} option must be specified.  Without any
-@var{signal} argument, all supported signals are listed.  The output
-of @option{-l} or @option{--list} is a list of the signal names, one
-per line; if @var{signal} is already a name, the signal number is
-printed instead.  The output of @option{-t} or @option{--table} is a
-table of signal numbers, names, and descriptions.  This form of the
-@command{kill} command succeeds if all @var{signal} arguments are valid
-and if there is no output error.
+This form of the @command{kill} command succeeds if all @var{signal}
+arguments are valid and if there is no output error.
 
-The @command{kill} command also supports the @option{--help} and
-@option{--version} options.  @xref{Common options}.
+The program accepts the following options.  Also see @ref{Common options}.
+
+@table @samp
+
+@optAnchor{kill,-SIGNAL}
+@optItem{kill,-s,}
+@optItemx{kill,--signal,}
+Specify the name or number of the signal to be sent.
+
+@optItem{kill,-l,}
+@optItemx{kill,--list,}
+List the supported signal names one per line if the @var{signal} option
+is omitted.  If one or more @var{signal} options are provided, they are
+converted between signal names and signal numbers.
+
+@optItem{kill,-t,}
+@optItemx{kill,--table,}
+This option behaves the same way as @option{--list} except it prints a
+table of signal numbers, names, and descriptions.
+
+@end table
 
 A @var{signal} may be a signal name like @samp{HUP}, or a signal
 number like @samp{1}, or an exit status of a process terminated by the