On Blocks with Abelian Defect Groups of Small Rank

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Benjamin Sambale

Externe Organisationen

  • Technische Universität Kaiserslautern
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Details

OriginalspracheEnglisch
Seiten (von - bis)411-422
Seitenumfang12
FachzeitschriftResults in mathematics
Jahrgang71
Ausgabenummer1-2
PublikationsstatusVeröffentlicht - 21 Mai 2016
Extern publiziertJa

Abstract

Let B be a p-block of a finite group with abelian defect group D. Suppose that D has no elementary abelian direct summand of order p4. Then, we show that B satisfies Brauer’s k(B)-Conjecture (i.e. k(B) ≤ | D|). Together with former results, it follows that Brauer’s k(B)-Conjecture holds for all blocks of defect at most 3. We also obtain some related results.

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On Blocks with Abelian Defect Groups of Small Rank. / Sambale, Benjamin.
in: Results in mathematics, Jahrgang 71, Nr. 1-2, 21.05.2016, S. 411-422.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Sambale B. On Blocks with Abelian Defect Groups of Small Rank. Results in mathematics. 2016 Mai 21;71(1-2):411-422. doi: 10.1007/s00025-016-0557-4
Sambale, Benjamin. / On Blocks with Abelian Defect Groups of Small Rank. in: Results in mathematics. 2016 ; Jahrgang 71, Nr. 1-2. S. 411-422.
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