The quaternion group (q, degree ) is a group of order 8 with two generators a and b subject to the relations a4 = e, b2 = a2, and a degree b degree a = b. to be explicit, the elements of q are e, a, a2, a3, b, a degree b, a degree b, a2 degree b, a3 degree b. for this discussion prompt, research the subject and find an application of the quaternion group that differs from any of your peer's responses. write the cayley table, find the center, and find all cyclic subgroups for q.|

Georgia needs to buy flea treatment for her dog. pet store 1 is offering the flea treatment for 40 percent off plus an additional 25 percent off their regular price of $33. pet store 2 is offering the same flea treatment for 55 percent off plus an additional 5 percent off their regular price of $34. which location is offering the better price and how much cheaper is it? the flea treatment is $0.31 cheaper at pet store 2. the flea treatment is $1.05 cheaper at pet store 2. the flea treatment is $2.05 cheaper at pet store 1. the flea treatment is $2.36 cheaper at pet store 1.