The neighbourhood of dihedral 2-groups

被引：1

作者：

Bálek, M ^{[1
]}

Drápal, A ^{[1
]}

Zhukavets, N ^{[1
]}

机构：

[1] Charles Univ, Dept Algebra, Prague 18675, Czech Republic

来源：

ACTA APPLICANDAE MATHEMATICAE | 2005年 / 85卷 / 1-3期

关键词：

2-group; Hamming distance; group multiplication table;

D O I：

10.1007/s10440-004-5582-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We examine two particular constructions that derive from a 2-group G = G(.) another 2-group G(*) for the case when G( .) is one of D-2n, SD2n, Q(2n). The constructions ( cyclic and dihedral) have the property that x * y = x . y for exactly 3/ 4 of all pairs (x, y) is an element of G x G.

引用

页码：25 / 33

页数：9

共 50 条

[1] The Neighbourhood of Dihedral 2-Groups
Martin Bálek
Aleš Drápal
Natalia Zhukavets
Acta Applicandae Mathematica, 2005, 85 : 25 - 33
[2] WHITEHEAD-GROUPS OF DIHEDRAL 2-GROUPS
KEATING, ME
LECTURE NOTES IN MATHEMATICS, 1982, 966 : 122 - 127
[3] CLASS GROUPS OF QUATERNION AND DIHEDRAL 2-GROUPS
FROHLICH, A
KEATING, ME
WILSON, SMJ
MATHEMATIKA, 1974, 21 (41) : 64 - 71
[4] Codes from Dihedral 2-Groups
S. Gupta
P. Rani
Mathematical Notes, 2022, 112 : 885 - 897
[5] Codes from Dihedral 2-Groups
Gupta, S.
Rani, P.
MATHEMATICAL NOTES, 2022, 112 (5-6) : 885 - 897
[6] INDECOMPOSABLE REPRESENTATIONS OF DIHEDRAL 2-GROUPS
RINGEL, CM
MATHEMATISCHE ANNALEN, 1975, 214 (01) : 19 - 34
[7] Universal deformation rings and dihedral 2-groups
Bleher, Frauke M.
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2009, 79 : 225 - 237
[8] Noether's problem for dihedral 2-groups
Chu, H
Hu, SJ
Kang, MC
COMMENTARII MATHEMATICI HELVETICI, 2004, 79 (01) : 147 - 159
[9] Central and non central codes of dihedral 2-groups
Gupta, S.
Rani, P.
ALGEBRA AND DISCRETE MATHEMATICS, 2022, 33 (01): : 87 - 98
[10] Noether's problem for dihedral 2-groups II
Kang, MC
PACIFIC JOURNAL OF MATHEMATICS, 2005, 222 (02) : 300 - 315

← 1 2 3 4 5 →