QUES: Quotient groups and subgroups together form a way of describing every group by its presentation: any group is the quotient of the free group over the generators of the group, quotiented by the subgroup of relations. The dihedral group D4, for example, can be generated by two elements r and f (for example, r = r1, the right rotation and f = fv the vertical (or any other) reflection), which means that every symmetry of the square is a finite composition of these two symmetries or their inverses. Together with the relations

What of a square is an infinite composition?
What is the answer?
ANS: unanswerable
QUES: Melbourne has four airports. Melbourne Airport, at Tullamarine, is the city's main international and domestic gateway and second busiest in Australia. The airport is home base for passenger airlines Jetstar Airways and Tiger Airways Australia and cargo airlines Australian air Express and Toll Priority; and is a major hub for Qantas and Virgin Australia. Avalon Airport, located between Melbourne and Geelong, is a secondary hub of Jetstar. It is also used as a freight and maintenance facility. Buses and taxis are the only forms of public transport to and from the city's main airports. Air Ambulance facilities are available for domestic and international transportation of patients. Melbourne also has a significant general aviation airport, Moorabbin Airport in the city's south east that also handles a small number of passenger flights. Essendon Airport, which was once the city's main airport also handles passenger flights, general aviation and some cargo flights.

Which airport is the city's main international and domestic gateway?
What is the answer?
ANS: Melbourne Airport
QUES: Beyonce has stated that she is personally inspired by US First Lady Michelle Obama, saying "She proves you can do it all" and she has described Oprah Winfrey as "the definition of inspiration and a strong woman". She has also discussed how Jay Z is a continuing inspiration to her, both with what she describes as his lyrical genius and in the obstacles he has overcome in his life. Beyonce has expressed admiration for the artist Jean-Michel Basquiat, posting in a letter "what I find in the work of Jean-Michel Basquiat, I search for in every day in music... he is lyrical and raw". In February 2013, Beyonce said that Madonna inspired her to take control of her own career. She commented: "I think about Madonna and how she took all of the great things she achieved and started the label and developed other artists. But there are not enough of those women.".

How does she describe Jean- Michel Basquiat?
What is the answer?
ANS:
lyrical and raw