The component has a combustion chamber housing with a circumference wall and a base wall. Two fuel guiding attachments have a fuel supply control arrangement (26) for supply of fuel to the fuel guiding attachments provided at the circumference wall. The fuel supply control arrangement has a position dependent throttle arrangement (36) for position dependent distribution of the fuel to be supplied to the fuel guiding attachments. A throttle of the throttle arrangement is designed as a rolling body or a ball.