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Fusion systems and amalgams

Andersen, Kasper LU orcid ; Oliver, Bob and Ventura, Joana (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:
author
; and
organization
publishing date
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}},
}