Index: src/bp-templates/bp-legacy/buddypress/groups/single/cover-image-header.php
===================================================================
--- src/bp-templates/bp-legacy/buddypress/groups/single/cover-image-header.php
+++ src/bp-templates/bp-legacy/buddypress/groups/single/cover-image-header.php
@@ -28,18 +28,14 @@
 
 	<div id="item-header-content">
 
-		<div id="item-buttons">
-
-			<?php
+		<div id="item-buttons"><?php
 
 			/**
 			 * Fires in the group header actions section.
 			 *
 			 * @since 1.2.6
 			 */
-			do_action( 'bp_group_header_actions' ); ?>
-
-		</div><!-- #item-buttons -->
+			do_action( 'bp_group_header_actions' ); ?></div><!-- #item-buttons -->
 
 		<?php
 
Index: src/bp-templates/bp-legacy/buddypress/members/single/cover-image-header.php
===================================================================
--- src/bp-templates/bp-legacy/buddypress/members/single/cover-image-header.php
+++ src/bp-templates/bp-legacy/buddypress/members/single/cover-image-header.php
@@ -34,18 +34,14 @@
 			<h2 class="user-nicename">@<?php bp_displayed_user_mentionname(); ?></h2>
 		<?php endif; ?>
 
-		<div id="item-buttons">
-
-			<?php
+		<div id="item-buttons"><?php
 
 			/**
 			 * Fires in the member header actions section.
 			 *
 			 * @since 1.2.6
 			 */
-			do_action( 'bp_member_header_actions' ); ?>
-
-		</div><!-- #item-buttons -->
+			do_action( 'bp_member_header_actions' ); ?></div><!-- #item-buttons -->
 
 		<span class="activity"><?php bp_last_activity( bp_displayed_user_id() ); ?></span>
 
Index: src/bp-templates/bp-legacy/css/buddypress.css
===================================================================
--- src/bp-templates/bp-legacy/css/buddypress.css
+++ src/bp-templates/bp-legacy/css/buddypress.css
@@ -1403,6 +1403,9 @@
 	overflow: auto;
 	list-style: none;
 }
+body.groups #item-buttons:empty {
+	display: none;
+}
 
 /*--------------------------------------------------------------
 3.8.1 - Cover Image