The inductive Alperin–McKay and Blockwise Alperin Weight conditions for blocks with cyclic defect groups and odd primes

By Shigeo Koshitani, Britta Spaeth. 2013

54 citations recorded by the source corpus.

Abstract We verify the inductive Blockwise Alperin Weight (BAW) and the inductive Alperin–McKay (AM) conditions introduced by the second author, for p-blocks of finite quasisimple groups with cyclic defect groups whenever the prime p is odd. Furthermore, we establish a criterion that describes conditions under which the inductive AM condition for blocks with abelian defect groups implies the inductive BAW condition for those blocks.

Subfields: Discrete Mathematics and Combinatorics, Molecular Biology, Organic Chemistry

View Paper: https://www.semanticscholar.org/paper/6e7ddc8d275e2d1e3866b389c622ef390200c67f

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In Discrete Mathematics and Combinatorics

1. Pham Huu Tiep
2. Gunter Malle
3. Gabriel Navarro
4. A. S. Fry
5. Britta Spath
6. Britta Spaeth
7. M. Cabanes
8. Jay Taylor

In Molecular Biology

1. A. S. Fry
2. Gunter Malle
3. Pham Huu Tiep
4. Gabriel Navarro

In Organic Chemistry

1. A. S. Fry
2. Gunter Malle
3. Pham Huu Tiep
4. Gabriel Navarro

Citations in the corpus

• Brauer's Height Zero Conjecture (2022, methodology): “…of blocks with cyclic defect groups, or when all the irreducible characters in b have the same degree (and therefore b is nilpotent in the sense of Brou´e–Puig), we will instead use deep results by Koshitani–Sp¨ath, Brou´e–Puig and K¨ulshammer–Puig ([31, 9, 33]) in order to prove Theorem A.”