Question

index of a group definition​

Answer 1

Answer:

Thus the index group ΛC(T) is the set of homotopy classes, indexed by the winding number of its members. Thus ΛC(T) is isomorphic to the fundamental group of T. ... The index group ΛK is again a countable discrete group. In fact, ΛK is isomorphic to the additive group of integers Z, via the Fredholm index.

Answer 2

Step-by-step explanation:

In mathematics, specifically group theory, the index of a subgroup H in a group G is the number of left cosets of H in G, or equivalently, the number of right cosets of H in G.