On exact products of two dihedral groups
Kan Hu, Hao Yu

TL;DR
This paper classifies all possible exact products of two dihedral groups of orders 2m and 2n, where m and n are odd integers greater than or equal to 3, expanding understanding of their subgroup structures.
Contribution
It provides a complete classification of exact products of two dihedral groups for all odd orders, a previously unexplored case in group theory.
Findings
Complete classification of exact products for dihedral groups of orders 2m and 2n
Identification of conditions for subgroup intersections and products
Extension of known results to all odd order cases
Abstract
An exact product of two finite groups and is a finite group which contains and as subgroups, satisfying and . In this paper, we provide a classification of the exact products of two dihedral groups of orders and for all odd numbers .
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Taxonomy
TopicsMathematics and Applications · Finite Group Theory Research
