The default applications on the lock screen on the SIII are as follows; 'Phone', 'Messaging', 'Google Search', 'Internet' and 'Camera'. Please note, that these short cuts are only available if the Lock screen is set to 'Swipe'.
To change the short applications on the Lock screen go to Settings > Lock screen >Lock screen options > Shortcuts. You can delete short cuts by pressing and dragging an application to the 'Bin' at the bottom of the screen. You can add application by pressing the plus sign (+) to the right of the screen.
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