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Extensions of nilpotent blocks over arbitrary fields

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Abstract

In this paper, with a suitable condition, we describe the algebraic structure of block extensions of nilpotent blocks over arbitrary fields, thus generalize the main result of B. Külshammer and L. Puig on block extensions of nilpotent blocks over algebraically closed fields.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, People’s Republic of China

    Yuanyang Zhou

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  1. Yuanyang Zhou
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Correspondence to Yuanyang Zhou.

Additional information

Supported by NSFC (Grant No.: 10501016).

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Zhou, Y. Extensions of nilpotent blocks over arbitrary fields. Math. Z. 261, 351–371 (2009). https://doi.org/10.1007/s00209-008-0328-3

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  • DOI: https://doi.org/10.1007/s00209-008-0328-3

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