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 ⊗ H for all normal subgroups G and H of the quaternion group of order 32.
Original language | English (US) |
---|---|
Pages (from-to) | 119-128 |
Number of pages | 10 |
Journal | Journal of Pure and Applied Algebra |
Volume | 132 |
Issue number | 2 |
DOIs | |
State | Published - Nov 10 1998 |
Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory