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A
note on C𝜃𝜃-groups
Leslie R. Fletcher |
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Vol. 39 (1971), No. 3, 655–657
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Abstract |
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A C𝜃𝜃-group is a finite group of order divisible by 3 in which centralisers of 3-elements are 3-groups. Several authors have studied such groups; in particular it is known that, given the additional hypothesis that the Sylow 3-subgroups intersect trivially, a simple C𝜃𝜃-group has abelian Sylow 3-subgroups. In this note it is proved that this additional hypothesis is superfluous. |
Mathematical Subject Classification 2000
Primary: 20D99
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Milestones
Received: 14 August 1970
Published: 1 December 1971
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Authors |
| Leslie R. Fletcher | |
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