The exponents of nonabelian tensor products of groups |
| |
Authors: | Primo? Moravec |
| |
Affiliation: | Oddelek za matematiko, Inštitut za matematiko, fiziko in mehaniko, Jadranska 19, 1000 Ljubljana, Slovenia |
| |
Abstract: | We prove that the exponent of the nonabelian tensor product of two locally finite groups can be bounded in terms of exponents of given groups. Several estimates for the exponents of nonabelian tensor squares are obtained. In particular, if the group G is nilpotent of class ≤3 and of finite exponent, then the exponent of its nonabelian tensor square divides the exponent of G. |
| |
Keywords: | 20J99 20F18 |
本文献已被 ScienceDirect 等数据库收录! |
|