In other words I need to be able from time to time to assign a ticket to more than 1 technician from different tech groups (service and/or network, etc.).
Helpdesk is a quickly growing segment in the software industry and there are a wealth of good options available for small and medium businesses. To start, take a look at our list of the top 5 cloud help desk solutions and check the helpdesk section of our product finder for a complete list of vendors. Also, you may be interested in reading our Behind the Software Q&A with JitBit, a leading helpdesk provider.
You may want to check Deskero at www.deskero.com.
It allows you to formally assign a ticket to one technitian, but you can put in CC other operators that can manage the ticket, reply, give advice so it is like you assigned it to them!
I hope you like it ;)