index vs. individual entry pages

I’m trying to understand the WP index.php — how to display something on my index but not on my individual entry pages. Specifically, I’d like to display the blog name on the index but not on my entry pages. I’m wondering if there’s a place in index.php where I can put <?php bloginfo(‘name’); ?> so that it will only apply to the index.
It looks like there might be some plugins that allow for this. But I’m hesitant to use a plugin for something like this. There must be something in WP itself that provides this functionality, right?