Consistent Polycyclic Presentation of a Bieberbach Group with a Nonabelian Point Group

被引：0

作者：

Mohammad, Siti Afiqah ^{[1
]}

Sarmin, Nor Haniza ^{[1
]}

Hassim, Hazzirah Izzati Mat ^{[1
]}

机构：

[1] Univ Teknol Malaysia, Fac Sci, Dept Math Sci, Utm Johor Bahru 81310, Johor, Malaysia

来源：

PROCEEDINGS OF THE 7TH SEAMS UGM INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATIONS 2015: ENHANCING THE ROLE OF MATHEMATICS IN INTERDISCIPLINARY RESEARCH | 2016年 / 1707卷

关键词：

nonabelian tensor square; Bieberbach group;

D O I：

10.1063/1.4940813

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Research on the nonabelian tensor square of a group is requisite on finding the other homological functors. One of the methods to explicate the nonabelian tensor square is to ensure the presentation of the group is polycyclic and to prove its consistency. In this research, the polycyclic presentation of a Bieberbach group with the quaternion point group of order eight is shown to be consistent.

引用

页数：6

共 50 条

[21] MISCELLANY ON BIEBERBACH GROUP ALGEBRAS
FARKAS, DR
PACIFIC JOURNAL OF MATHEMATICS, 1975, 59 (02) : 427 - 435
[22] ON THE NUMBER OF GENERATORS OF A BIEBERBACH GROUP
Dekimpe, Karel
Penninckx, Pieter
COMMUNICATIONS IN ALGEBRA, 2009, 37 (12) : 4332 - 4345
[23] On the Uncontrollability of Nonabelian Group Codes with Uncoded Group Zp
Arpasi, Jorge Pedraza
MATHEMATICAL PROBLEMS IN ENGINEERING, 2011, 2011
[24] ON WH3 OF A BIEBERBACH GROUP
NICAS, AJ
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1984, 95 (JAN) : 55 - 60
[25] A BIEBERBACH THEOREM FOR CRYSTALLOGRAPHIC GROUP EXTENSIONS
Ratcliffe, John G.
Tschantz, Steven T.
QUARTERLY JOURNAL OF MATHEMATICS, 2017, 68 (04): : 1181 - 1202
[26] The Generalization of the Exterior Square of a Bieberbach Group
Masri, Rohaidah
Hassim, Hazirah Izzati Mat
Sarmin, Nor Haniza
Ali, Nor Muhainiah Mohd
Idrus, Nor'ashiqin Mohd
PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES, 2014, 1602 : 849 - 854
[27] ON WH2 OF A BIEBERBACH GROUP
NICAS, AJ
TOPOLOGY, 1984, 23 (03) : 313 - 321
[28] On the Abelianization of All Bieberbach Groups of Dimension Four with Symmetric Point Group of Order Six
Ting, Tan Yee
Idrus, Nor'ashiqin Mohd
Masri, Rohaidah
Fauzi, Wan Nor Farhana Wan Mohd
Sarmin, Nor Haniza
Hassim, Hazzirah Izzati Mat
INTERNATIONAL CONFERENCE ON QUANTITATIVE SCIENCES AND ITS APPLICATIONS (ICOQSIA 2014), 2014, 1635 : 479 - 486
[29] Bieberbach groups with finite commutator quotient and point-group Cpn x Cpm
Cid, CF
JOURNAL OF GROUP THEORY, 2000, 3 (02) : 113 - 125
[30] AUTOMORPHISM GROUP OF A POLYCYCLIC GROUP
AUSLANDER, L
ANNALS OF MATHEMATICS, 1969, 89 (02) : 314 - +

← 1 2 3 4 5 →