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arXiv · 2509.04717

Classification of Finite Groups With Equal Left and Right Quotient Sets

Haran Mouli·Pramana Saldin
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Abstract

In this paper, we classify all finite groups $G$ which have the following property: for all subsets $A \subseteq G$, we have $|AA^{-1}| = |A^{-1}A|$. This question is motivated by the problem in additive combinatorics of More Sums Than Difference sets and answers several questions posed in arXiv:2509.00611 [math.NT].

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Haran Mouli, Pramana Saldin. 2025-09-05. Classification of Finite Groups With Equal Left and Right Quotient Sets. https://arxiv.org/abs/2509.04717

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