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Stefan Kohl ♦
Stefan Kohl ♦
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Example of a group thatin which centralizers of every element are non-identity elements is not abelianabelian

I am studystudying $AC$-groups that, i.e. groups in which the centralizer of every non non-identity elementselement is abelian  . Now iI need an example of groups thata group in which the centralizer of every non-identity elementselement is not abeliannon-abelian. Where Where can iI find and how can iI classify thisthem?

Example of a group that centralizers of every non-identity elements is not abelian

I am study $AC$-groups that centralizer of every non-identity elements is abelian  . Now i need an example of groups that centralizer of every non-identity elements is not abelian. Where can i find and how can i classify this?

Example of a group in which centralizers of every element are non-abelian

I am studying $AC$-groups, i.e. groups in which the centralizer of every non-identity element is abelian. Now I need an example of a group in which the centralizer of every non-identity element is non-abelian. Where can I find and how can I classify them?

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Reza Sheikhi
Reza Sheikhi
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Example of a group that centralizers of every non-identity elements is not abelian

I am study $AC$-groups that centralizer of every non-identity elements is abelian . Now i need an example of groups that centralizer of every non-identity elements is not abelian. Where can i find and how can i classify this?