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The Neighbourhood of Dihedral 2-Groups

Authors:	Martin?Bálek author-information" > author-information__contact u-icon-before" > mailto:balek@kam.mff.cuni.cz" title=" balek@kam.mff.cuni.cz" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Ale??Drápal,Natalia?Zhukavets

Affiliation:	(1) Dept. of Algebra, Charles University, Sokolovská 83, 186 75 Prague, Czech Republic

Abstract:	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 $D_{2^{n}}$ , $SD_{2^{n}}$ , $Q_{2^{n}}$ . The constructions (cyclic and dihedral) have the property that xy=xy for exactly 3/4 of all pairs (x,y)G×G.Work supported by by Grant Agency of Charles University, grant number 269/2001/B-MAT/MFF. The second and the third authors were also supported by the institutional grants MSM 113200007 and MSM 210000010, respectively.Mathematics Subject Classifications (2000) primary: 20D60, secondary: 05B15.

Keywords:	2-group Hamming distance group multiplication table
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