Minimal involution-free nongroup reduced twisted subsets
A. L. Myl’nikov · Mathematical Notes · 2010
A subset K of a group G is said to be twisted if 1 ∈ K and the element xy −1 x lies in K for any x, y ∈ K. We study finite involution-free twisted subsets that are not subgroups but all of whose proper twisted subsets are subgroups. We also study the groups generated by such twisted subsets.