On the connectivity of the subpair complex of a block

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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.
Original languageEnglish
Pages (from-to)665-668
Number of pages4
JournalJournal of Algebra
Volume238
DOIs
Publication statusPublished - 2001

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