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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

And, in complete opposition to the usual practice, we shall not choose a relatively simple group formation as our point of departure, but shall begin with highly organised, lasting and artificial groups.

From Group Psychology and The Analysis of The Ego by Freud, Sigmund

Except when n = 4 the alternating group is a simple group.

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

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