Work

The powerful class of groups

Year: 2023

Type: article

Abstract: Pro‐ groups of finite powerful class are studied. We prove that these are ‐adic analytic, and further describe their structure when their powerful class is small. It is also shown that there are only finitely many finite ‐groups of fixed coclass and powerful class.

Source: Mathematische Nachrichten

DOI: 10.1002/mana.202300141

Author: Primož Moravec

Institutions: University of Ljubljana, Institute of Mathematics, Physics, and Mechanics

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,140

Funder: Javna Agencija za Raziskovalno Dejavnost RS