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arXiv · 1912.09044

Loewy lengths of centers of blocks and exponents of defect groups

Yoshihiro Otokita
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Abstract

In this paper we study the Loewy structure of the center $ZB$ of a block of a finite group with respect to an algebraically closed field of prime characteristic. We first state a new method for calculating the Loewy length $LL(ZB)$ of $ZB$ in terms of subsections and lower defect groups. By applying this result we give an upper bound of $LL(ZB)$ which depends on the exponent of a defect group of $B$ for some cases.

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BibTeXRIS

Yoshihiro Otokita. 2019-12-19. Loewy lengths of centers of blocks and exponents of defect groups. https://arxiv.org/abs/1912.09044

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