List questions from abelian-groups

Published on 26 Nov 2019 - 16:34

1.4k

Views

Every abelian $p$-group is the direct product of cyclic groups.

Published on 25 Mar 2026 - 19:04

128

Views

Any finite non-cyclic abelian $p$-group will have more than $p-1$ elements of order $p.$

Published on 25 Mar 2026 - 19:10

53

Views

Hom on sequences of integers is determined by values on finite sequences

Published on 28 Mar 2026 - 0:56

228

Views

Compute the quotient group $(\mathbb{Z_{4}} \times \mathbb{Z_{8}})/ \langle (3,3) \rangle$.

Published on 28 Nov 2019 - 2:37

63

Views

Why does $\langle \bar a \rangle \cap \overline K = \{\bar e \}$?

Published on 25 Mar 2026 - 19:10

377

Views

Uniqueness in the Fundamental Theorem of Finite Abelian Groups

Published on 29 Nov 2019 - 10:21

39

Views

Action of $\mathfrak{S}_n$ on the additive group of mappings from $\mathbb{Z}^{[1,n]}$ to $\mathbb{Z}$ and inversions of elements of $\mathfrak{S}_n$

Published on 28 Mar 2026 - 11:35

50

Views

Finite abelian groups as direct products of proper characteristic subgroups

Published on 29 Nov 2019 - 22:40

437

Views

If a normal subgroup and its factor group are both abelian, then what can be said about the group?

Published on 26 Mar 2026 - 7:45

360

Views

Left inverse of a homomorphism in abelian groups

Published on 28 Mar 2026 - 0:56

47

Views

calculation of the direct limit of groups

Published on 05 Dec 2019 - 22:52

45

Views

Is the category of short exact sequences of abelian groups abelian?

Published on 26 Mar 2026 - 22:16

182

Views

Two uncountable subsets of real numbers without any interval and two relations

Published on 23 Feb 2026 - 0:47

116

Views

is a character of a finite abelian group an eigenvector?

Published on 26 Mar 2026 - 1:14

List Question

Show that $G=HK.$

Every abelian $p$-group is the direct product of cyclic groups.

Any finite non-cyclic abelian $p$-group will have more than $p-1$ elements of order $p.$

Hom on sequences of integers is determined by values on finite sequences

Compute the quotient group $(\mathbb{Z_{4}} \times \mathbb{Z_{8}})/ \langle (3,3) \rangle$.

Why does $\langle \bar a \rangle \cap \overline K = \{\bar e \}$?

Uniqueness in the Fundamental Theorem of Finite Abelian Groups

Action of $\mathfrak{S}_n$ on the additive group of mappings from $\mathbb{Z}^{[1,n]}$ to $\mathbb{Z}$ and inversions of elements of $\mathfrak{S}_n$

Finite abelian groups as direct products of proper characteristic subgroups

If a normal subgroup and its factor group are both abelian, then what can be said about the group?

Left inverse of a homomorphism in abelian groups

calculation of the direct limit of groups

Is the category of short exact sequences of abelian groups abelian?

Two uncountable subsets of real numbers without any interval and two relations

is a character of a finite abelian group an eigenvector?

Trending Questions

Popular # Hahtags

Popular Questions