Stability of nilpotent groups of class 2 and prime exponent

Citations Over Time

Abstract

Abstract Let p be an odd prime. A method is described which given a structure M of finite similarity type produces a nilpotent group of class 2 and exponent p which is in the same stability class as M . Theorem. There are nilpotent groups of class 2 and exponent p in all stability classes . Theorem. The problem of characterizing a stability class is equivalent to characterizing the (nilpotent, class 2, exponent p) groups in that class .

Related Papers

• → A bound for the class of certain nilpotent groups(1965)10 cited
• → Recognizing powers in nilpotent groups and nilpotent images of free groups(2007)3 cited
• → On nilpotent and solvable pair of polygroups(2021)1 cited
• Two Results of Nilpotent Group(2011)
• → On the geometry of free nilpotent groups(2021)