Shripad M. Garge

activity

20042025

most citedMaximal tori determining the algebraic group

9 citations · 10 across the 15 of their papers we have counts for

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Showing 2021 · math.GRShow all

2 papers · 2 filters

math.GR2021

Asymptotics of commuting probabilities in reductive algebraic groups

Shripad M. Garge, Uday Bhaskar Sharma, Anupam Singh

Let $G$ be an algebraic group. For $d \geq 1$ , we define the commuting probabilities $c p_{d} (G) = \frac{d im ( C _{d} ( G ))}{d im ( G ^{d} )}$ , where $C_{d} (G)$ is the variety of c…

math.GR2021★ 1 cited

Commuting probability in algebraic groups

Shripad M. Garge

We introduce the notion of commuting probability, $p (G)$ , for an algebraic group $G$ . This notion is inspired by the corresponding notions in finite groups and compact groups. The…