On small distances of small 2-groups

Natalia Zhukavets

Commentationes Mathematicae Universitatis Carolinae (2001)

  • Volume: 42, Issue: 2, page 247-257
  • ISSN: 0010-2628

Abstract

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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 { 16 , 32 } . The constructions that are used are of the general character and some of their properties are discussed as well.

How to cite

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Zhukavets, Natalia. "On small distances of small 2-groups." Commentationes Mathematicae Universitatis Carolinae 42.2 (2001): 247-257. <http://eudml.org/doc/248799>.

@article{Zhukavets2001,
abstract = {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 \lbrace 16,32\rbrace $. The constructions that are used are of the general character and some of their properties are discussed as well.},
author = {Zhukavets, Natalia},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {2-groups; distances of groups; distances of groups; Cayley tables; Hamming distances; finite 2-groups},
language = {eng},
number = {2},
pages = {247-257},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On small distances of small 2-groups},
url = {http://eudml.org/doc/248799},
volume = {42},
year = {2001},
}

TY - JOUR
AU - Zhukavets, Natalia
TI - On small distances of small 2-groups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2001
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 42
IS - 2
SP - 247
EP - 257
AB - 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 \lbrace 16,32\rbrace $. The constructions that are used are of the general character and some of their properties are discussed as well.
LA - eng
KW - 2-groups; distances of groups; distances of groups; Cayley tables; Hamming distances; finite 2-groups
UR - http://eudml.org/doc/248799
ER -

References

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  1. Donovan D., Oates-Williams S., Praeger Ch.E., On the distance between distinct group Latin squares, J. Combin. Des. 5 (1997), 235-248. (1997) Zbl0912.05021MR1451283
  2. Drápal A., How far apart can the group multiplication table be?, European J. Combin. 13 (1992), 335-343. (1992) MR1181074
  3. Drápal A., Non-isomorphic 2 -groups coincide at most in three quarters of their multiplication tables, European J. Combin. 20 (2000), 301-321. (2000) MR1750166
  4. Vojtěchovský P., O Hammingově vzdálenosti grup, M.D. Thesis (in Czech), Charles University, Prague, 1998. 
  5. Zhukavets N., Close 2 -groups, Ph.D. Thesis, Charles University, Prague, in preparation. 

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