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Title: On small distances of small 2-groups (English)
Author: Zhukavets, Natalia
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 42
Issue: 2
Year: 2001
Pages: 247-257
Category: math
Summary: The paper reports the results of a search for pairs of groups of order $n$ that can be placed in the distance $n^2/4$ for the case when $n\in \{16,32\}$. The constructions that are used are of the general character and some of their properties are discussed as well. (English)
Keyword: 2-groups
Keyword: distances of groups
MSC: 05B15
MSC: 20D15
MSC: 20D60
idZBL: Zbl 1057.20018
idMR: MR1832144
Date available: 2009-01-08T19:09:35Z
Last updated: 2012-04-30
Stable URL:
Reference: [1] Donovan D., Oates-Williams S., Praeger Ch.E.: On the distance between distinct group Latin squares.J. Combin. Des. 5 (1997), 235-248. Zbl 0912.05021, MR 1451283
Reference: [2] Drápal A.: How far apart can the group multiplication table be?.European J. Combin. 13 (1992), 335-343. MR 1181074
Reference: [3] Drápal A.: Non-isomorphic $2$-groups coincide at most in three quarters of their multiplication tables.European J. Combin. 20 (2000), 301-321. MR 1750166
Reference: [4] Vojtěchovský P.: O Hammingově vzdálenosti grup.M.D. Thesis (in Czech), Charles University, Prague, 1998.
Reference: [5] Zhukavets N.: Close $2$-groups.Ph.D. Thesis, Charles University, Prague, in preparation.


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