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arXiv · 2308.13391

On groups with a given central factor

Sekhar Jyoti Baishya
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Abstract

We have classified, upto isoclinism, certain groups with a given central factor. As an application, we classify, upto isoclinism, groups having at the most nine element centralizers. Among other results of independent interest, we have classified, upto isoclinism, groups having a central factor of order $p^3$, $p$ a prime. All these improves some previous results.

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Sekhar Jyoti Baishya. 2023-08-25. On groups with a given central factor. https://arxiv.org/abs/2308.13391

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