Recent content by kljoki

Hi I have this graph now i should check if this graph can be planar. v - number of vertices e - number of edges f - number of faces to be planar it should hold v - e + f = 2 from here f = 2 - v + e = 2 - 9 + 15 = 8 so f = 8 now my question is how to easily count faces (regions...

ok and what about (Z3xZ5,*) (0,0),(0,1),(0,2),(0,3),(0,4) will have order 1 or what?? how can (an(mod 3),bn(mod 5)) = (1,1) when the element have (0,b)?? :D what should i do here??

thanks for the answer and explanation :)

they say to try with multiplication to see what is going to happen

Hi i need a little help i was given group (Z3 x Z3,+) and i should find order of every elements so the elements are {(0,0),(0,1),(0,2),(1,0),(1,1),(1,2),(2,0),(2,1),( 2,2)} and the order of every element is (0,0) has order 1 (0,1)*3=(0(mod 3),3(mod 3)) = (0,0) order 3 (0,2)*3=(0(mod...