The quadratic type of the 2-principal indecomposable modules of the double covers of alternating groups
John Murray
TL;DR
This paper identifies the quadratic type of 2-modular principal indecomposable modules in the double covers of alternating groups, advancing understanding of their modular representation theory.
Contribution
It provides the first determination of the quadratic type for these modules, filling a key gap in the representation theory of double covers of alternating groups.
Findings
Quadratic type of 2-modular principal indecomposable modules determined
Enhances understanding of modular representation theory of double covers
Provides foundational results for further algebraic investigations
Abstract
We determine the quadratic type of the 2-modular principal indecomposable modules of the double covers of alternating groups.
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