LOEWY LENGTHS OF CENTERS OF BLOCKS II

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

Autoren

  • Burkhard Külshammer
  • Yoshihiro Otokita
  • Benjamin Sambale

Externe Organisationen

  • Friedrich-Schiller-Universität Jena
  • Chiba University
  • Technische Universität Kaiserslautern
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)127-138
Seitenumfang12
FachzeitschriftNagoya mathematical journal
Jahrgang234
PublikationsstatusVeröffentlicht - 1 Juni 2019
Extern publiziertJa

Abstract

Let ZB be the center of a p-block B of a finite group with defect group D. We show that the Loewy length LL(ZB) of ZB is bounded by |D|/p+p-1 provided D is not cyclic. If D is nonabelian, we prove the stronger bound LL(ZB) < min{p d-1 , 4p d-2 } where |D|=p d . Conversely, we classify the blocks B with LL(ZB) ≥ min{p d-1 , 4p d-2 }. This extends some results previously obtained by the present authors. Moreover, we characterize blocks with uniserial center.

ASJC Scopus Sachgebiete

Zitieren

LOEWY LENGTHS OF CENTERS OF BLOCKS II. / Külshammer, Burkhard; Otokita, Yoshihiro; Sambale, Benjamin.
in: Nagoya mathematical journal, Jahrgang 234, 01.06.2019, S. 127-138.

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

Külshammer, B, Otokita, Y & Sambale, B 2019, 'LOEWY LENGTHS OF CENTERS OF BLOCKS II', Nagoya mathematical journal, Jg. 234, S. 127-138. https://doi.org/10.1017/nmj.2017.36
Külshammer, B., Otokita, Y., & Sambale, B. (2019). LOEWY LENGTHS OF CENTERS OF BLOCKS II. Nagoya mathematical journal, 234, 127-138. https://doi.org/10.1017/nmj.2017.36
Külshammer B, Otokita Y, Sambale B. LOEWY LENGTHS OF CENTERS OF BLOCKS II. Nagoya mathematical journal. 2019 Jun 1;234:127-138. doi: 10.1017/nmj.2017.36
Külshammer, Burkhard ; Otokita, Yoshihiro ; Sambale, Benjamin. / LOEWY LENGTHS OF CENTERS OF BLOCKS II. in: Nagoya mathematical journal. 2019 ; Jahrgang 234. S. 127-138.
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AU - Otokita, Yoshihiro

AU - Sambale, Benjamin

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