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Embeddings into k-Efficient Groups

✍ Scribed by Graham Ellis

Book ID
102573916
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
88 KB
Volume
243
Category
Article
ISSN
0021-8693

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✦ Synopsis

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 ≀ k. The theorem can be viewed as a generalisation of a result of J. Harlander [1996, J. Algebra 182, 511-521] on the embedding of finite groups into groups with "efficient" presentations.

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