Abstract
Let D be a noncommutative division ring with centre F and V a right vector space over D. Among results, we show that the automorphism group of V does not satisfy any generalized group identity of length lesser than some positive integer depending on the cardinality of F.
Acknowledgements
The authors would like to express their sincere gratitude to the referee for his/her comments and suggestions due to which the paper was greatly improved.
Disclosure statement
No potential conflict of interest was reported by the author(s).