English

Inertial 2-blocks with abelian defect groups

Group Theory 2026-04-14 v2 Representation Theory

Abstract

L. Puig defined inertial blocks. In this paper, we prove that 2-blocks with defect group C2n1×C2n2×...×C2ntC_{2^{n_1}}\times C_{2^{n_2}}\times...\times C_{2^{n_t}} are inertial, where ni2n_i\geq 2 for all ii.

Cite

@article{arxiv.2604.09186,
  title  = {Inertial 2-blocks with abelian defect groups},
  author = {Kun Zhang and Yuanyang Zhou},
  journal= {arXiv preprint arXiv:2604.09186},
  year   = {2026}
}
R2 v1 2026-07-01T12:02:43.558Z