%0 Journal Article %T On nilpotent and solvable polygroups %J Bulletin of the Iranian Mathematical Society %I Iranian Mathematical Society (IMS) %Z 1017-060X %A Aghabozorgi, H. %A Jafarpour, M. %A Davvaz, B. %D 2013 %\ 07/01/2013 %V 39 %N 3 %P 487-499 %! On nilpotent and solvable polygroups %K (semi)hypergroup %K polygroup %K derived polygroup %K nilpotent %R %X Applications of hypergroups have mainly appeared in special subclasses. One of the important subclasses is the class of polygroups. In this paper, we study the notions of nilpotent and solvable polygroups by using the notion of heart of polygroups. In particular, we give a necessary and sufficient condition between nilpotent (solvable) polygroups and fundamental groups. %U http://bims.iranjournals.ir/article_424_1382aa8542282fb58e8f5814d16a8370.pdf