#### Abstract

Given a group G and a subgroup H, under what circumstances can we find a homomorphism φ : G −→ G', such that H is the kernel of φ? Clearly a necessary condition is that H is normal in G. Somewhat surprisingly this trivially necessary condition is also in fact sufficient. The idea is as follows. Given G and H there is an obvious map of sets, where H is the… (More)

#### Figures and Tables

Sorry, we couldn't extract any figures or tables for this paper.