Do finite Bruck loops behave like groups?

B. Baumeister

Commentationes Mathematicae Universitatis Carolinae (2012)

  • Volume: 53, Issue: 3, page 337-346
  • ISSN: 0010-2628

Abstract

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This note contains Sylow's theorem, Lagrange's theorem and Hall's theorem for finite Bruck loops. Moreover, we explore the subloop structure of finite Bruck loops.

How to cite

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Baumeister, B.. "Do finite Bruck loops behave like groups?." Commentationes Mathematicae Universitatis Carolinae 53.3 (2012): 337-346. <http://eudml.org/doc/246251>.

@article{Baumeister2012,
abstract = {This note contains Sylow's theorem, Lagrange's theorem and Hall's theorem for finite Bruck loops. Moreover, we explore the subloop structure of finite Bruck loops.},
author = {Baumeister, B.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {finite loops; finite Bruck loops; finite Bol loops; finite $A_r$-loops; classical theorems for finite loops; finite Bruck loops; finite Bol loops; Sylow theorem; Lagrange theorem; Hall theorem; Sylow subloops},
language = {eng},
number = {3},
pages = {337-346},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Do finite Bruck loops behave like groups?},
url = {http://eudml.org/doc/246251},
volume = {53},
year = {2012},
}

TY - JOUR
AU - Baumeister, B.
TI - Do finite Bruck loops behave like groups?
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2012
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 53
IS - 3
SP - 337
EP - 346
AB - This note contains Sylow's theorem, Lagrange's theorem and Hall's theorem for finite Bruck loops. Moreover, we explore the subloop structure of finite Bruck loops.
LA - eng
KW - finite loops; finite Bruck loops; finite Bol loops; finite $A_r$-loops; classical theorems for finite loops; finite Bruck loops; finite Bol loops; Sylow theorem; Lagrange theorem; Hall theorem; Sylow subloops
UR - http://eudml.org/doc/246251
ER -

References

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