The homology of invariant group chains

Abstract

If Q is a group acting as a group of automorphisms of another group G (with finite orbits), denote by C*(G)Q the subcomplex of Q-invariant chains in the bar complex C*(G). In this paper, we study the homology of the complex C*(G)Q and compute several examples.

0

Turn this paper into a full lesson

ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…