Bicyclic Groups

Sambale, Benjamin

doi:10.1007/978-3-319-12006-5_10

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Tame Blocks2

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2023

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(2 citation statements)

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“…Let be a defect pair of B . It is well known that B has exactly four irreducible characters of height (see [38, Theorem 8.1]). By [24, Theorem 5.1], at least one such character has F-S indicator .…”

Section: Tame Blocksmentioning

confidence: 99%

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Real Blocks With Dihedral Defect Groups Revisited

Sambale

2023

Bull. Aust. Math. Soc.

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The Frobenius–Schur indicators of characters in a real $2$ -block with dihedral defect groups have been determined by Murray [‘Real subpairs and Frobenius–Schur indicators of characters in 2-blocks’, J. Algebra322 (2009), 489–513]. We show that two infinite families described in his work do not exist and we construct examples for the remaining families. We further present some partial results on Frobenius–Schur indicators of characters in other tame blocks.

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Section: Tame Blocksmentioning

confidence: 99%

“…Let . By the orthogonality relations of generalised decomposition numbers (see [38, Theorem 1.14]), we have for and for . These numbers depend on the ordinary decomposition matrix of B .…”

Section: Tame Blocksmentioning

confidence: 99%

Real Blocks With Dihedral Defect Groups Revisited

Sambale

2023

Bull. Aust. Math. Soc.

Self Cite

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show abstract

Bicyclic Groups

Cited by 1 publication

References 19 publications

Real Blocks With Dihedral Defect Groups Revisited

Real Blocks With Dihedral Defect Groups Revisited

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