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You should use the inherited privileges screen to control this. This rule is on the folder where groups are created (or ancestor folder).

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Configure rule for v5+

Image Added

Configure rule for v4 and previous

Penn example

Penn has Atlassian groups in Grouper.  Any group created in Grouper in the jira/confluence folder will be available in jira/confluence.  However, the proper privileges need to be assigned to the groups.  The Atlassian admins need admin, updaters need update, and readers need read.  These assignments are done by 3 people, and it is error prone (assign the wrong thing), sometimes forgotten, and time consuming.

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gsh 18% revokePriv("stem2:sub:c", "test.subject.0", Privilege.getInstance("update"))
false
gsh 19% status = GrouperLoader.runOnceByJobName(grouperSession, GrouperLoaderType.GROUPER_RULES);
loader ran successfully: Ran rules daemon, changed 0 records
gsh 20% hasPriv("stem2:sub:c", "test.subject.0", Privilege.getInstance("update"))
true

Apply rule to certain groups

If you want the rule to only apply to groups with certain names, an admin can apply this condition

attributeValueDelegate.assignValue(
    RuleUtils.ruleIfConditionEnumName(), RuleIfConditionEnum.nameMatchesSqlLikeString.name());
attributeValueDelegate.assignValue(
    RuleUtils.ruleIfConditionEnumArg0Name(), "a:b:%someGroup");