Embeddings into hopfian groups
β Scribed by Charles F Miller III; Paul E Schupp
- Book ID
- 103131640
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 320 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove a theorem with the following corollary: For each integer k β₯ 1, an arbitrary finite group G embeds into some finite group G k for which there exists an Eilenberg-Mac Lane CW-space X = K G k 1 whose finite n-skeleton X n has Euler-PoincarΓ© characteristic Ο X n = 1 + -1 n dH n G k for all n β€
Given a completely regular space X with two uniformities b/I and/-/r both generating the original topology of X, we consider the question wbeth~ there exists a Hausdofff topological group G comaining X as a subspace such that \*Vlx = b/~ and V\* Ix = b/r, where \*~ and ~;\* are respectively the left