E∞ -cells and general linear groups of finite fields

Key Points

• The study aims to establish new homological stability results for general linear groups over finite fields.
• Constructed CW approximations to classifying spaces of general linear groups.
• Utilized E∞-algebras to guide the construction.
• Performed homology computations with coefficients in the E1-split Steinberg module.
• New homological stability results confirmed for general linear groups over finite fields.
• Construction of CW approximations led to significant insights into group properties.