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On the Connectivity of the Subpair Complex of a Block

Authors :
Charles B. Eaton
Source :
Eaton, C 2001, ' On the connectivity of the subpair complex of a block ', Journal of Algebra, vol. 238, pp. 665-668 . https://doi.org/10.1006/jabr.2000.8645
Publication Year :
2001
Publisher :
Elsevier BV, 2001.

Abstract

We demonstrate that the simplicial complex formed from the poset of nontrivial subpairs for a given p-block of a finite group G is disconnected if and only if G has the block analogue of a strongly p-embedded subgroup.

Subjects

Subjects :
Combinatorics
Discrete mathematics
Simplicial complex
Algebra and Number Theory
Simplicial manifold
Abstract simplicial complex
Block (permutation group theory)
Delta set
n-skeleton
h-vector
Simplicial homology
Mathematics

Details

ISSN :
00218693
Volume :
238
Issue :
2
Database :
OpenAIRE
Journal :
Journal of Algebra
Accession number :
edsair.doi.dedup.....5eb68f6151628c5bb5534f9c83c8d713
Full Text :
https://doi.org/10.1006/jabr.2000.8645
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