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Mathematische Zeitschrift | Vol.70, Issue.1 | | Pages 466-479

Mathematische Zeitschrift

Geometry in certain finite groups

George Bachman  
Abstract

Certain finite groups can be considered in a natural manner as geometrical groups in the sence that they, along with a class of conjugate subgroups, characterize a certain geometry and also act as groups of motions on this geometry. Two special classes of such groups are studied, and their structural properties are determined. Finally, examples of such groups are constructed.

Original Text (This is the original text for your reference.)

Geometry in certain finite groups

Certain finite groups can be considered in a natural manner as geometrical groups in the sence that they, along with a class of conjugate subgroups, characterize a certain geometry and also act as groups of motions on this geometry. Two special classes of such groups are studied, and their structural properties are determined. Finally, examples of such groups are constructed.

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George Bachman,.Geometry in certain finite groups. 70 (1),466-479.

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