suspect water level control they call it a pressure switch
there is a quarter inch line that runs from tub to pressure switch that line can sometimes plug requiring line be removed from pressure switch and cleared
http://www.repairclinic.com/Washing-Machine-Top-Load-GE-Style-Appliance-Diagram
this web page shows a breakdown of commom top load ge washing machine level control is located in top panel
before opening top panel unplug washer from wall
if clearing line does not work level control will probably need to be replaced suggest take picture or draw out
where three wires are hooked before removing part or
change 1 wire at a time to avoid mixing up wiring
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