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simple group

American  

noun

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


Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

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

It is also to be noticed that a cyclical group is a simple group, since it has no continuous self-conjugate subgroup distinct from itself.

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

But this is not the sole determinant of the numerical limits of the simple group in such objective rhythms.

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

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