Absolute order in general linear groups

DOI10.1112/jlms.12013zbMath1476.20049arXiv1506.03332OpenAlexW658811051WikidataQ105476627 ScholiaQ105476627MaRDI QIDQ5357341

Jia Huang, Victor Reiner, Joel Brewster Lewis

Publication date: 15 September 2017

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.03332

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Representations of finite groups of Lie type (20C33) Ordered groups (group-theoretic aspects) (20F60)

Related Items (11)

Reflection length in the general linear and affine groups ⋮ On the Sperner property for the absolute order on complex reflection groups ⋮ Stability of the centers of group algebras of \(\mathrm{GL}_n(q)\) ⋮ Stability of the centers of the symplectic group rings \(\mathbb{Z} [S p_{2 n}(q)\)] ⋮ The alternating group generated by 3-cycles ⋮ A poset structure on the alternating group generated by 3-cycles ⋮ Unnamed Item ⋮ Connectivity properties of factorization posets in generated groups ⋮ Weak \(Z\)-property of the absolute order on groups generated by sets closed under taking inverses ⋮ Factorization problems in complex reflection groups ⋮ Cycle type factorizations in \(\mathrm{GL}_n \mathbb{F}_q\)

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