Abstract
We give a bound for the order of the nonabelian tensor product of two prime-power groups. From this we obtain bounds on the third homotopy group of a union of two spaces. We illustrate our bound by using a GAP computer program to determine the order of the nonabelian tensor product G x H for all normal subgroups G and H of the quaternion group of order 32. (C) 1998 Elsevier Science B.V. All rights reserved.
| Original language | English (Ireland) |
|---|---|
| Number of pages | 9 |
| Journal | Journal Of Pure And Applied Algebra |
| Volume | 132 |
| Publication status | Published - 1 Nov 1998 |
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Ellis, G;McDermott, A