Get ID of ROW when using aggregate functions

Hi,
I have following table:

id int(11)
name varchar(255)
company varchar(255)
sallary int(11)

CREATE TABLE `test` (
  `id` int(11) NOT NULL AUTO_INCREMENT,
  `name` varchar(255) NOT NULL,
  `company` varchar(255) NOT NULL,
  `sallary` int(11) NOT NULL,
  PRIMARY KEY (`id`)
) ENGINE=MyISAM  DEFAULT CHARSET=latin2 AUTO_INCREMENT=1 ;

With rows:

INSERT INTO `test` (`id`, `name`, `company`, `sallary`) VALUES
(1, 'Jane', 'Microsoft', 10000),
(2, 'Peter', 'Novell', 12000),
(3, 'Steven', 'Microsoft', 17000);

I want to select person from each company with a highest sallary.
I run this SQL:

SELECT id,name,company,MAX(sallary) FROM `test` GROUP BY company;

And result is:

id     name     company     MAX( sallary )
1     Jane       Microsoft   17000
2     Peter      Novell        12000

Why it returned Jane (id 1) as a person with highest sallary (17000) when 
obviously Jane has sallary of 10 000?

Thanks for any help.