6 citations · 7 across the 2 of their papers we have counts for
3 papers
math.GR2016★ 1 cited
A new construction for the shortest non-trivial element in the lower central series
Abdelrhman Elkasapy
We provide a new upper bound for the length for the shortest non-trivial element in the lower central series of the free group on two generators. We prove that…
math.GR2013
On the length of the shortest non-trivial element in the derived and the lower central series
Abdelrhman Elkasapy, Andreas Thom
We provide upper and lower bounds on the length of the shortest non-trivial element in the derived series and lower central series in the free group on two generators. The techniqu…
math.GR2012★ 6 cited
About Goto's method showing surjectivity of word maps
Abdelrhman Elkasapy, Andreas Thom
Let F be the free group on two letters. For ω \in F we study the associated word map ω: SU(n) \times SU(n) \rightarrow SU(n). Extending a method of Goto, we show that for ω not in…