# Semisimple finite group algebra of a generalized strongly monomial group

## TL;DR

This paper characterizes the algebraic structure of semisimple finite group algebras for generalized strongly monomial groups, extending previous work and providing an algorithm with illustrative example.

## Contribution

It extends the theory of strongly monomial groups to generalized strongly monomial groups and offers an explicit algorithm for their algebraic structure analysis.

## Key findings

- Complete algebraic structure characterized
- Extension of Broche and del R{\'i}o's work
- Algorithm provided with example

## Abstract

The complete algebraic structure of semisimple finite group algebra of a generalized strongly monomial group is provided. This work extends the work of Broche and del R{\'{\i}}o on strongly monomial groups. The theory is complimented by an algorithm and is illustrated with an example.