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 8 条

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[3] 2-G
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Drápal, A
Zhukavets, N
[J]. GLASGOW MATHEMATICAL JOURNAL, 2003, 45 : 293 - 308
[6] On groups that differ in one of four squares
Drápal, A
[J]. EUROPEAN JOURNAL OF COMBINATORICS, 2002, 23 (08) : 899 - 918
[7] Drapal A., 2003, COMMENT MATH U CAROL, V44, P593
[8] ZHUKAVETS N, 2001, COMMENT MATH U CAROL, V42, P247

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