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Structure of a group with elements of order at most 4

D. V. Lytkina

Siberian Fund for Algebra and Logic

Abstract: We prove that every group in which the order of each element is at most 4 either possesses a nontrivial class 2 nilpotent normal Sylow subgroup or includes a normal elementary abelian 2-subgroup the quotient by which is isomorphic to the nonabelian group of order 6.

Keywords: period, Sanov, locally finite group.

UDC: 512.54

Received: 10.04.2006

 English version: Siberian Mathematical Journal, 2007, 48:2, 283–287

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