Trees of fusion systems

Jason P G Semeraro

doi:10.1016/j.jalgebra.2013.10.024

Trees of fusion systems

Jason P G Semeraro

Research output: Contribution to journal › Article (Academic Journal) › peer-review

2 Citations (Scopus)

Abstract

We define a 'tree of fusion systems' and give a sufficient condition for its completion to be saturated. We apply this result to enlarge an arbitrary fusion system by extending the automorphism groups of certain of its subgroups. (C) 2013 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	1051-1072
Number of pages	22
Journal	Journal of Algebra
Volume	399
DOIs	https://doi.org/10.1016/j.jalgebra.2013.10.024
Publication status	Published - 1 Feb 2014

Bibliographical note

Version 1: Wed 28 Nov 2012 18:44:48 GMT
Version 2: Fri 7 Jun 2013 1238:45 GMT
Version 3: Tue 29 Oct 2013 11:11:30 GMT

Keywords

Fusion systems
Finite group theory

Access to Document

10.1016/j.jalgebra.2013.10.024

http://arxiv.org/pdf/1211.6700v3

Cite this

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title = "Trees of fusion systems",

abstract = "We define a 'tree of fusion systems' and give a sufficient condition for its completion to be saturated. We apply this result to enlarge an arbitrary fusion system by extending the automorphism groups of certain of its subgroups. (C) 2013 Elsevier Inc. All rights reserved.",

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AB - We define a 'tree of fusion systems' and give a sufficient condition for its completion to be saturated. We apply this result to enlarge an arbitrary fusion system by extending the automorphism groups of certain of its subgroups. (C) 2013 Elsevier Inc. All rights reserved.

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KW - Finite group theory

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DO - 10.1016/j.jalgebra.2013.10.024

M3 - Article (Academic Journal)

VL - 399

SP - 1051

EP - 1072

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

Trees of fusion systems

Abstract

Bibliographical note

Keywords

Access to Document

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Cite this