Nilpotent extensions of blocks

Details Nilpotent extensions of blocks Nilpotent extensions of blocks

2010-04-09

arxiv.org/abs/1004.1613v1

Mathematics

Group Theory

Scientific paper

There are normal sub-blocks of nilpotent blocks which are NOT nilpotent or, equivalently, nilpotent extensions of non-nilpotent blocks. In this paper we determine the source algebra structure of the non-nilpotent blocks involved in these situations. Actually, we introduce a new type of blocks - called the inertial blocks - which include the nilpotent blocks and is closed by taking normal sub-blocks.

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