| Title:
|
Nil series from arbitrary functions in group theory (English) |
| Author:
|
Hawthorn, Ian |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
59 |
| Issue:
|
1 |
| Year:
|
2018 |
| Pages:
|
1-13 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In an earlier paper distributors were defined as a measure of how close an arbitrary function between groups is to being a homomorphism. Distributors generalize commutators, hence we can use them to try to generalize anything defined in terms of commutators. In this paper we use this to define a generalization of nilpotent groups and explore its basic properties. (English) |
| Keyword:
|
finite group |
| Keyword:
|
nilpotent |
| Keyword:
|
arbitrary functions |
| Keyword:
|
nil-series |
| Keyword:
|
distributor |
| MSC:
|
20D99 |
| idZBL:
|
Zbl 06890392 |
| idMR:
|
MR3783804 |
| DOI:
|
10.14712/1213-7243.2015.240 |
| . |
| Date available:
|
2018-04-17T13:38:03Z |
| Last updated:
|
2020-04-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147172 |
| . |
| Reference:
|
[1] Dembowski P.: Finite Geometries.Springer, Berlin, 1968. Zbl 0865.51004 |
| Reference:
|
[2] Hawthorn I., Guo Y.: Arbitrary functions in group theory.New Zealand J. Math. 45 (2015), 1–9. |
| Reference:
|
[3] Pott A.: Finite Geometry and Character Theory.Springer, Berlin, 1995. |
| . |
