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Let the group $$G=AB$$G=AB be the product of the subgroups A and B. We determine some structural properties of G when the p-elements in $$A\cup B$$A∪B have prime power indices… Click to show full abstract
Let the group $$G=AB$$G=AB be the product of the subgroups A and B. We determine some structural properties of G when the p-elements in $$A\cup B$$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 $$A\cup B$$A∪B have prime power indices in G. In particular, when $$G=A=B$$G=A=B, we obtain as a consequence some known results.
Keywords:
power indices;
power;
indices factorised;
prime power;
factorised groups
Journal Title: Mediterranean Journal of Mathematics
Year Published: 2017
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Journal Title: Mediterranean Journal of Mathematics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!