In which core ITIL publication can you find detailed descriptions of service catalogue management, information security management, and supplier management?

Service Strategy covers processes such as strategy management, service portfolio management, and financial management for IT services, not the design-phase processes listed in the question.

The ITIL Service Design publication defines the processes required to design IT services and the supporting practices to deliver them effectively and securely. Service catalogue management, information security management, and supplier management are explicitly categorized as Service Design processes because they shape how services are structured, secured, and sourced before transition into production. This distinguishes them from operational or strategic processes found in other ITIL lifecycle publications.

Service Transition focuses on processes like change management, release and deployment management, and knowledge management that govern moving services into the live environment.

Service Operation covers the day-to-day running of services through processes such as incident management, problem management, event management, and access management.