Nil series from arbitrary functions in group theory
Commentationes Mathematicae Universitatis Carolinae (2018)
- Volume: 59, Issue: 1, page 1-13
- ISSN: 0010-2628
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topHawthorn, Ian. "Nil series from arbitrary functions in group theory." Commentationes Mathematicae Universitatis Carolinae 59.1 (2018): 1-13. <http://eudml.org/doc/294328>.
@article{Hawthorn2018,
abstract = {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.},
author = {Hawthorn, Ian},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {finite group; nilpotent; arbitrary functions; nil-series; distributor},
language = {eng},
number = {1},
pages = {1-13},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Nil series from arbitrary functions in group theory},
url = {http://eudml.org/doc/294328},
volume = {59},
year = {2018},
}
TY - JOUR
AU - Hawthorn, Ian
TI - Nil series from arbitrary functions in group theory
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2018
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 59
IS - 1
SP - 1
EP - 13
AB - 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.
LA - eng
KW - finite group; nilpotent; arbitrary functions; nil-series; distributor
UR - http://eudml.org/doc/294328
ER -
References
top- Dembowski P., Finite Geometries, Springer, Berlin, 1968. Zbl0865.51004
- Hawthorn I., Guo Y., Arbitrary functions in group theory, New Zealand J. Math. 45 (2015), 1–9.
- Pott A., Finite Geometry and Character Theory, Springer, Berlin, 1995.
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