diff --git a/app/models/ability.rb b/app/models/ability.rb
index 69ada753d0..1afe8a4638 100644
--- a/app/models/ability.rb
+++ b/app/models/ability.rb
@@ -240,6 +240,7 @@ class Ability
       can_manage = group_abilities(user, group).include?(:manage_group)
       if can_manage && (user != target_user)
         rules << :modify
+        rules << :destroy
       end
       if !group.last_owner?(user) && (can_manage || (user == target_user))
         rules << :destroy
diff --git a/features/group.feature b/features/group.feature
index 71282fb75b..4e11bcba93 100644
--- a/features/group.feature
+++ b/features/group.feature
@@ -74,7 +74,7 @@ Feature: Groups
     When I visit group "Owned" members page
     Then I should see user "John Doe" in team list
     Then I should see user "Mary Jane" in team list
-    Then I should not see the "Remove User From Group" button for "Mary Jane"
+    Then I should not see the "Remove User From Group" button for "John Doe"
 
   @javascript
   Scenario: Guest should be able to remove himself from group
diff --git a/lib/gitlab/regex.rb b/lib/gitlab/regex.rb
index d18fc8bf2c..e932b64f4f 100644
--- a/lib/gitlab/regex.rb
+++ b/lib/gitlab/regex.rb
@@ -7,7 +7,7 @@ module Gitlab
     end
 
     def project_name_regex
-      /\A[a-zA-Z0-9][a-zA-Z0-9_\-\. ]*\z/
+      /\A[a-zA-Z0-9_][a-zA-Z0-9_\-\. ]*\z/
     end
 
     def name_regex
@@ -49,7 +49,7 @@ module Gitlab
     protected
 
     def default_regex
-      /\A[.?]?[a-zA-Z0-9][a-zA-Z0-9_\-\.]*(?<!\.git)\z/
+      /\A[.?]?[a-zA-Z0-9_][a-zA-Z0-9_\-\.]*(?<!\.git)\z/
     end
   end
 end