Skew-Symmetric Elements of Rational Group Algebras
Dishari Chaudhuri

TL;DR
This paper provides a structure theorem for skew-symmetric elements in group algebras over algebraic extensions of the rationals, generalizing previous results in the area.
Contribution
It introduces a generalized structure theorem for skew-symmetric elements in group algebras over algebraic extensions of , extending prior work.
Findings
Established a structure theorem for skew-symmetric elements
Generalized known results to broader algebraic extensions
Enhanced understanding of involution-based element structures
Abstract
Let be the group ring of a finite group over a commutative ring with . An element in is said to be skew-symmetric with respect to an involution of if A structure theorem for the skew-symmetric elements of is given where is an algebraic extension of which generalizes some previously known results in this direction.
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