The Generalization of the Exterior Square of a Bieberbach Group with Symmetric Point Group

被引：0

作者：

Idrus, Nor'ashiqin Mohd. ^{[1
]}

Ting, Tan Yee ^{[1
]}

Masri, Rohaidah ^{[1
]}

Sarmin, Nor Haniza ^{[2
]}

Hassim, Hazzirah Izzati Mat ^{[2
]}

机构：

[1] Univ Pendidikan Sultan Idris, Fac Sci & Math, Dept Math, Tanjung Malim, Perak, Malaysia

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

来源：

JOURNAL OF INFORMATICS AND MATHEMATICAL SCIENCES | 2016年 / 8卷 / 04期

关键词：

Exterior square; Bieberbach group; Symmetric point group;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The exterior square is a homological functor originated in the homotopy theory, while Bieberbach groups with symmetric point group are torsion free crystallographic groups. In this paper, the generalization of the exterior square of a Bieberbach group with symmetric point group is constructed up to finite dimension.

引用

页码：295 / 299

页数：5

共 50 条

[21] Non-Exterior Square Graph of Finite Group
Niroomand, P.
Erfanian, A.
Parvizi, M.
Tolue, B.
FILOMAT, 2017, 31 (03) : 877 - 883
[22] Explicit Equations for Exterior Square of the General Linear Group
Lubkov R.A.
Nekrasov I.I.
Journal of Mathematical Sciences, 2019, 243 (4) : 583 - 594
[23] On Some Homological Functors of Bieberbach Group of Dimension Four with Dihedral Point Group of Order Eight
Mohammad, Siti Afiqah
Ali, Nor Muhainiah Mohd
Sarmin, Nor Haniza
Idrus, Nor'ashiqin Mohd
Masri, Rohaidah
PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES, 2014, 1602 : 754 - 759
[24] THE SECOND QUANDLE HOMOLOGY OF THE TAKASAKI QUANDLE OF AN ODD ABELIAN GROUP IS AN EXTERIOR SQUARE OF THE GROUP
Niebrzydowski, Maciej
Przytycki, Jozef H.
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2011, 20 (01) : 171 - 177
[25] MISCELLANY ON BIEBERBACH GROUP ALGEBRAS
FARKAS, DR
PACIFIC JOURNAL OF MATHEMATICS, 1975, 59 (02) : 427 - 435
[26] Symmetric group characters of almost square shape
Matsumoto, Sho
Sniady, Piotr
ALGEBRAIC COMBINATORICS, 2022, 5 (04): : 771 - 784
[27] ON THE NUMBER OF GENERATORS OF A BIEBERBACH GROUP
Dekimpe, Karel
Penninckx, Pieter
COMMUNICATIONS IN ALGEBRA, 2009, 37 (12) : 4332 - 4345
[28] Point processes and the infinite symmetric group
Borodin, A
Olshanski, G
MATHEMATICAL RESEARCH LETTERS, 1998, 5 (06) : 799 - 816
[29] ON TWISTED EXTERIOR AND SYMMETRIC SQUARE γ-FACTORS
Ganapathy, Radhika
Lomeli, Luis
ANNALES DE L INSTITUT FOURIER, 2015, 65 (03) : 1105 - 1132
[30] ON WH3 OF A BIEBERBACH GROUP
NICAS, AJ
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1984, 95 (JAN) : 55 - 60

← 1 2 3 4 5 →