| 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. |
| . |
