On some homological functors of a Bieberbach group with symmetric point group

Tan, Yee Ting

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Type :	article
Subject :	L Education (General)
ISSN :	0094243X
Main Author :	Tan, Yee Ting
Additional Authors :	Nor’ashiqin Mohd Idrus Rohaidah Masri Nor Fadzilah Abdul Ladi
Title :	On some homological functors of a Bieberbach group with symmetric point group

Year of Publication :

2017

Abstract :

Bieberbach groups with symmetric point group are polycyclic. The properties of the groups can be explored by computing their homological functors. In this paper, some homological functors of a Bieberbach group with symmetric point group, such as the Schur multiplier and the G-trivial subgroup of the nonabelian tensor square, are generalized up to finite dimension and are represented in the form of direct product of cyclic groups.

References

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