English

The inductive blockwise Alperin weight condition for $G_2(q)$ and $^3D_4(q)$

Representation Theory 2016-03-17 v1

Abstract

The inductive blockwise Alperin weight condition is a system of conditions whose verification for all non-abelian finite simple groups would imply the blockwise Alperin weight conjecture. We establish this condition for the groups G2(q)G_2(q), q5q \geq 5, and 3D4(q)^3D_4(q) for all primes dividing their order.

Keywords

Cite

@article{arxiv.1603.05065,
  title  = {The inductive blockwise Alperin weight condition for $G_2(q)$ and $^3D_4(q)$},
  author = {Elisabeth Schulte},
  journal= {arXiv preprint arXiv:1603.05065},
  year   = {2016}
}

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47 pages