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THE CENTRAL SUBGROUPS OF THE NONABELIAN TENSOR SQUARES OF SOME BIEBERBACH GROUPS WITH ELEMENTARY ABELIAN 2-GROUP POINT GROUP
Author(s) -
Nor Fadzilah Abdul Ladi,
Rohaidah Masri,
Nor’ashiqin Mohd Idrus,
Nor Haniza Sarmin,
Tan Yee Ting
Publication year - 2017
Publication title -
jurnal teknologi
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.191
H-Index - 22
eISSN - 2180-3722
pISSN - 0127-9696
DOI - 10.11113/jt.v79.10677
Subject(s) - mathematics , abelian group , group (periodic table) , rank of an abelian group , elementary abelian group , torsion subgroup , pure mathematics , combinatorics , physics , quantum mechanics
Bieberbach groups are torsion free crystallographic groups. In this paper, our focus is on the Bieberbach groups with elementary abelian 2-group point group,  The central subgroup of the nonabelian tensor square of a group  is generated by  for all  in  The purpose of this paper is to compute the central subgroups of the nonabelian tensor squares of two Bieberbach groups with elementary abelian 2-point group of dimension three.

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