On small distances of small 2-groups
Commentationes Mathematicae Universitatis Carolinae (2001)
- Volume: 42, Issue: 2, page 247-257
- ISSN: 0010-2628
Access Full Article
topAbstract
topHow to cite
topZhukavets, 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
top- 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
- Drápal A., How far apart can the group multiplication table be?, European J. Combin. 13 (1992), 335-343. (1992) MR1181074
- Drápal A., Non-isomorphic -groups coincide at most in three quarters of their multiplication tables, European J. Combin. 20 (2000), 301-321. (2000) MR1750166
- Vojtěchovský P., O Hammingově vzdálenosti grup, M.D. Thesis (in Czech), Charles University, Prague, 1998.
- Zhukavets N., Close -groups, Ph.D. Thesis, Charles University, Prague, in preparation.
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.