Grushko theorem
Theorem in group theory
In the mathematical subject of group theory, the Grushko theorem or the Grushko–Neumann theorem is a theorem stating that the rank (that is, the smallest cardinality of a generating set) of a free product of two groups is equal to the sum of the ranks of the two free factors. The theorem was first obtained in a 1940 article of Grushko and then, independently, in a 1943 article of Neumann.
Nº Q17019684 ★
Common · Knowledge
Grushko theorem
Theorem in group theory
In the mathematical subject of group theory, the Grushko theorem or the Grushko–Neumann theorem is a theorem stating that the rank (that is, the smallest cardinality of a generating set) of a free product of two groups is equal to the sum of the ranks of the two free factors. The theorem was first obtained in a 1940 article of Grushko and then, independently, in a 1943 article of Neumann.
From Wikipedia
In the mathematical subject of group theory, the Grushko theorem or the Grushko–Neumann theorem is a theorem stating that the rank (that is, the smallest cardinality of a generating set) of a free product of two groups is equal to the sum of the ranks of the two free factors. The theorem was first obtained in a 1940 article of Grushko and then, independently, in a 1943 article of Neumann.
Text: Wikipédia, CC BY-SA 4.0. ·
Related cards
-
M
Minkowski's theorem
Symmetric convex set
Nº Q1097021 ★
Not listed
-
Free product
Operation that takes two groups G and H and constructs a new group G ∗ H
Nº Q1454165 ★
Not listed
-
Cantor's theorem
In set theory, the theorem that a set has a strictly smaller cardinality than its powerset
Nº Q474881 ★★
Not listed
-
D
Dirichlet's unit theorem
Theorem
Nº Q1227702 ★
Not listed
-
F
Free probability
Mathematical theory of non-commutative random variables
Nº Q515893 ★
Not listed
-
C
Cayley's theorem
Theorem in group theory
Nº Q179208 ★
Not listed