Finite groups with $2$-closed or $2'$-closed centralizers of involutions

V. M. Sitnikov

Sverdlovsk Branch, Steklov Mathematics Institute, Academy of Sciences of the USSR

Abstract: Finite nonsolvable groups are described whose involution centralizers are $2$-closed or $2'$-closed, whereas the Sylow $p$-subgroups for $p>2$ are cyclic.

UDC: 512.4

Received: 07.07.1970

 English version: Mathematical Notes, 1971, 10:4, 685–690

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