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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive
Izv. Akad. Nauk SSSR Ser. Mat., 1991 Volume 55, Issue 2, Pages 303–317 (Mi im1011)
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A reduction theorem for TIsubgroups

A. A. Makhnev


Abstract: The following reduction theorem for TI-subgroups is obtained: if a 2-group $A$ is a TI-subgroup of a finite group, then either $A$ is an elementary or cyclic group, or the normal closure of $A$ is a well-known group.

UDC: 512.542

MSC: 20D05, 20D25, 20E07

Received: 13.11.1989


 English version: Mathematics of the USSR-Izvestiya, 1992, 38:2, 299–311

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