
06096456
j
2012f.00776
Ali, Nor Muhainiah Mohd
Sarmin, Nor Haniza
Kappe, LuiseCharlotte
Computation of the homological functors of infinite nonabelian 2generator groups of class two of type 1 by using GAP.
Menemui Mat. 30, No. 2, 5664 (2008).
2008
Persatuan Sains Matematik Malaysia (PERSAMA), Malaysian Mathematical Sciences Society, Bangi, Selangor; Universiti Putra Malaysia (UPM), Serdang, Selangor
EN
H45
R25
infinite 2generator groups
groups of nilpotency class 2 type 1
homological functors
exterior square
symmetric square
Schur multiplier
Zbl 1038.20024
Summary: The classification and nonabelian tensor squares of infinite 2generator groups of nilpotency class 2 is given by {\it N. H. Sarmin} [Int. J. Math. Math. Sci. 32, No. 10, 615625 (2002; Zbl 1038.20024)]. Let $S$ be the class of type 1 in the classification. We will determine certain homological functors in $S$ such as the exterior square, the symmetric square and the Schur multiplier. {\tt GAP} is used to first compute the homological functors for some specific groups in $S$, and then the functors are generalized.