group algebraic number field ''k'' finite consequence minkowski 's theorem since finitely many integral ideals norm less fixed positive integer sup page sup order class group called class number often denoted letter ''h'' dirichlet 's unit theorem dirichlet 's unit theorem provides description structure multiplicative group units ''o'' sup sup ring integers ''o'' specifically states ''o'' sup sup isomorphic ''g'' '''z''' sup ''r'' sup ''g'' finite cyclic group consisting
Formal science Mathematics Pure mathematics Number theory Algebraic number theory