simple group

American  

noun

Mathematics.

1. a group that has no normal subgroup except the group itself and the identity.

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Example Sentences

In further time-honoured Fifa fashion, what should have been a simple group stage was needlessly complicated.

From The Guardian • Nov. 16, 2020

At first glance, the cover photo looked like a simple group shot of the characters, but to me the photo-montage represents the very essence of the deceptiveness of reality that is the Matrix.

From Time Magazine Archive

Increase in either of these directions gives greater definition to the rhythmic figure and should tend to preserve the simple group in consciousness.

From Harvard Psychological Studies, Volume 1 Containing Sixteen Experimental Investigations from the Harvard Psychological Laboratory. by Münsterberg, Hugo

A simple group, as already defined, is one which has no self-conjugate subgroup.

From Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" by Various

A simple group, since it contains no self-conjugate subgroup distinct from itself, is necessarily a perfect group.

From Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" by Various