¹ *Source: wiktionary.com*

### Definition of Subgroups

**1.** subgroup [v] - See also: subgroup

### Subgroups Pictures

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### Lexicographical Neighbors of Subgroups

### 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 ..."