### Definition of Subgroups

1. Noun. (plural of subgroup) ¹

¹ Source: wiktionary.com

### Subgroups Pictures

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### Literary usage of Subgroups

Below you will find example usage of this term as found in modern and/or classical literature:

1. Bulletin of the American Mathematical Society by American Mathematical Society (1913)
"all the operators of G which transform any of these k subgroups into any other one of them. From this it follows that every operator of G which is not in ..."

2. Theory and Applications of Finite Groups by George Abram Miller, Hans Frederick Blichfeldt, Leonard Eugene Dickson (1916)
"Prove that the number of the subgroups of order p in any group of order pm is of ... Find a group of order 18 which contains only two invariant subgroups of ..."

3. Theory and Applications of Finite Groups by George Abram Miller, Hans Frederick Blichfeldt, Leonard Eugene Dickson (1916)
"The number of lhe invariant subgroups of order pa in any group of order pm is of ... Find a group of order 18 which contains only two invariant subgroups of ..."

4. An Introduction to the Theory of Groups of Finite Order by Harold Hilton (1908)
"The number of subgroups of index p in a prime-power group = 1 (mod p). Ex. 4. If E is a normal subgroup of G such that G/E is Abelian of type (1, 1, ..."

5. Mathematical Crystallography and the Theory of Groups of Movements by Harold Hilton (1903)
"subgroups C^ ; Qc. Dfr = {Dt\ I,'}. subgroups C*A ; C«,. &+ = {JV, /}. subgroups Cb; C*,. D\$h = (D*, I'}. subgroups QA; C«v. V\k = W, A)- subgroups C\h ..."

6. Projective Geometry by Oswald Veblen, John Wesley Young (1918)
"subgroups of the affine group. We give below a list of the principal ... These are all self-conjugate subgroups. We also include the groups which will be ..."

7. Projective Geometry by Oswald Veblen, John Wesley Young (1918)
"subgroups of the affine group. We give below a list of the principal ... These are all self•conjugate subgroups. We also include the groups which will be ..."