Finite groups with a certain number of values of the Chermak–Delgado measure-Reference-Cited by-同舟云学术

Finite groups with a certain number of values of the Chermak–Delgado measure

Published:2019-05-09 Issue:05 Volume:19 Page:2050088
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Tărnăuceanu Marius¹

Affiliation:

1. Faculty of Mathematics, “Al.I. Cuza” University, Iaşi, Romania

Abstract

In this paper, we study the finite groups whose Chermak–Delgado measure has exactly [Formula: see text] values. We will focus especially on the case [Formula: see text]. These groups determine an interesting class of [Formula: see text]-groups containing cyclic groups of prime order and extraspecial [Formula: see text]-groups.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498820500887

Reference17 articles.

1. The Dade group of (almost) extraspecial p-groups

2. Chermak–Delgado Lattice Extension Theorems

3. SOME GROUPS WITH COMPUTABLE CHERMAK–DELGADO LATTICES

4. Groups whose Chermak–Delgado lattice is a chain

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