Fusion systems and amalgams
(2013) In Mathematische Zeitschrift 274(3-4). p.1119-1154- Abstract
- We study reduced fusion systems from the point of view of their essential subgroups, using the classification by Goldschmidt and Fan of amalgams of prime index to analyze certain pairs of such subgroups. Our results are applied here to study reduced fusion systems over -groups of order at most 64, and also reduced fusion systems over -groups having abelian subgroups of index two. More applications are given in later papers.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4042859
- author
- Andersen, Kasper
LU
; Oliver, Bob and Ventura, Joana
- organization
- publishing date
- 2013
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Finite groups, Fusion, Amalgams, Fusion systems
- in
- Mathematische Zeitschrift
- volume
- 274
- issue
- 3-4
- pages
- 1119 - 1154
- publisher
- Springer
- external identifiers
-
- wos:000321916100018
- scopus:84880607080
- ISSN
- 0025-5874
- DOI
- 10.1007/s00209-012-1109-6
- language
- English
- LU publication?
- yes
- id
- 8ee9d67e-f138-4458-9e40-ea12da65ebb1 (old id 4042859)
- date added to LUP
- 2016-04-01 10:09:53
- date last changed
- 2025-04-04 14:43:18
@article{8ee9d67e-f138-4458-9e40-ea12da65ebb1, abstract = {{We study reduced fusion systems from the point of view of their essential subgroups, using the classification by Goldschmidt and Fan of amalgams of prime index to analyze certain pairs of such subgroups. Our results are applied here to study reduced fusion systems over -groups of order at most 64, and also reduced fusion systems over -groups having abelian subgroups of index two. More applications are given in later papers.}}, author = {{Andersen, Kasper and Oliver, Bob and Ventura, Joana}}, issn = {{0025-5874}}, keywords = {{Finite groups; Fusion; Amalgams; Fusion systems}}, language = {{eng}}, number = {{3-4}}, pages = {{1119--1154}}, publisher = {{Springer}}, series = {{Mathematische Zeitschrift}}, title = {{Fusion systems and amalgams}}, url = {{http://dx.doi.org/10.1007/s00209-012-1109-6}}, doi = {{10.1007/s00209-012-1109-6}}, volume = {{274}}, year = {{2013}}, }