Blocks with defect group \mathbb Z_2ⁿ× \mathbb Z_2ⁿ× \mathbb Z_2^m

2018/03/20 by Chao Wu, Kun Zhang, Wu, Chao +3
Computer Science · Mathematics · #Advanced Algebra and Geometry #Coding theory and cryptography #Combinatorics #FOS: Mathematics #Finite Group Theory Research #Group (periodic table) #Group Theory (math.GR) #Mathematics #Physics #Quantum mechanics #math.GR

paper · pdf · doi:10.48550/arxiv.1803.07262

published in arXiv (Cornell University) (Cornell University) · 24 pages

openalex publication_date 2018/03/20 · openalex created_date 2018/03/29 · arxiv created 2018/06/26 · arxiv updated 2018/06/27 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove that a block with defect group \mathbb Z_2ⁿ× \mathbb Z_2ⁿ× \mathbb Z_2^m, where n≥ 2 and m is arbitrary, is Morita equivalent to its Brauer correspondent.

Related

• Blocks with defect group D_2ⁿ * C_2^m
• Blocks with defect group D_2ⁿ x C_2^m
• 2-blocks with abelian defect groups
• Morita equivalence classes of blocks with elementary abelian defect groups of order 16
• Morita equivalence classes of 2-blocks of defect three