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On a generalization of monomial groups

Mircea Cimpoeas

Abstract

We study a class of finite groups, called almost monomial groups, which generalize the class of monomial groups and it is connected with the theory of Artin L-functions. Our method of research is based on finding similarities with the theory of monomial groups, whenever it is possible.

On a generalization of monomial groups

Abstract

We study a class of finite groups, called almost monomial groups, which generalize the class of monomial groups and it is connected with the theory of Artin L-functions. Our method of research is based on finding similarities with the theory of monomial groups, whenever it is possible.

Paper Structure

This paper contains 6 sections, 15 theorems, 13 equations.

Table of Contents

  1. Preliminaries and motivation
  2. A combinatorial characterization
  3. Normal subgroups of almost monomial groups
  4. Relative almost monomial groups
  5. Two subclasses of almost monomial groups
  6. GAP functions and computer experiments

Key Result

Theorem 1.2

We have that:

Theorems & Definitions (30)

  • Definition 1.1
  • Theorem 1.2
  • Remark 1.3
  • Remark 1.4
  • Theorem 1.5
  • Theorem 1.6
  • Theorem 2.1
  • proof
  • Lemma 3.1
  • Lemma 3.2
  • ...and 20 more