Aequationes mathematicae

, Volume 73, Issue 3, pp 260–279

General solution of the 2-cocycle functional equation on solvable groups


    • Department of Mathematics & StatisticsMississippi State University

DOI: 10.1007/s00010-006-2849-3

Cite this article as:
Ebanks, B. Aequ. math. (2007) 73: 260. doi:10.1007/s00010-006-2849-3


The general solution of the 2-cocycle functional equation on abelian groups is well known. Methods are also known for finding regular solutions on Lie groups. Here we find general solutions of the 2-cocycle equation on certain non-abelian groups. We consider groups that are semidirect products, and in particular solvable groups that can be built up by splitting extensions.

Mathematics Subject Classification (2000).

Primary 39B52Secondary 20C35


Solvable groupsemidirect productsplitting extensionnormal subgroup2-cocyclecocycle

Copyright information

© Birkhäuser Verlag, Basel 2007