Cryptocurrency Ethereum Mastering Development

how miners within a mining pool execute transactions and verify blocks?

I know that solo miners have to select & execute transactions in a block and also verify the recipint block and its transactions, all by themself.

However, I am not sure how this works in a mining pool. Who execute transactions in a block? and how verify the recipint block and its transactions? Do miners within a pool collabarate with each other in executing transactions in a block and verifying transactions in the recipint block? (e.g., every miner is responsible for a set of transactions) or these tasks are only done by the manager of the mining pool, and miners only participate in the PoW consensus?

I would appreciate if there is a research paper that clearly say and answer those questions.

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