This article is cited in 5 papers

Research papers

On finite $3$-generated $2$-groups of Alperin

B. M. Veretennikov

Ural State Technical University

Abstract: We prove a theorem about the structure of the commutant of a finite $2$-group in which every $2$-generated subgroup has a cyclic commutant and the group itself is generated by $3$ involutions. Also we construct two infinite series of such groups with the second commutant of order $2$ and $4$.

UDC: 512.54

MSC: 20D15

Received March 28, 2007, published May 8, 2007

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