# Article

 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: http://hdl.handle.net/10338.dmlcz/119240 . 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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