Prime Power Indices in Factorised Groups

Let the group G = A B be the product of the subgroups A and B . We determine some structural properties of G when the p -elements in A ∪ B have prime power indices in G , for some prime p . More generally, we also consider the case that all prime power order elements in A ∪ B have prime power indice...

Full description

Saved in:
Bibliographic Details
Published in:Mediterranean journal of mathematics 2017-12, Vol.14 (6), p.1-15, Article 225
Main Authors: Felipe, M. J., Martínez-Pastor, A., Ortiz-Sotomayor, V. M.
Format: Article
Language:English
Subjects:
Energy management
Mathematics
Mathematics and Statistics
Subgroups
Supermarkets
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Let the group G = A B be the product of the subgroups A and B . We determine some structural properties of G when the p -elements in A ∪ B have prime power indices in G , for some prime p . More generally, we also consider the case that all prime power order elements in A ∪ B have prime power indices in G . In particular, when G = A = B , we obtain as a consequence some known results.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-017-1023-6