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PHL
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When is a Schreier coset graph vertex transitive
added 5 characters in body
awarded
 Necromancer
awarded
 Scholar
accepted
Element of order $p$ and finite height $\geq1$ in a reduced abelian group $p$-group with an element of order $p^2$
awarded
 Revival
revised
When is a Schreier coset graph vertex transitive
Corrected spelling. Added a little more details about Tarski monsters.
answered
When is a Schreier coset graph vertex transitive
comment
Which 3-regular graphs are Schreier coset graphs?
I finally found back the second reference (Csoka and Lippner) for the fact that every locally finite vertex-transitive graph is isomorphic to a Schreier graph! It only took me 28 months to do it.
revised
Which 3-regular graphs are Schreier coset graphs?
Edit the Csoka and Lippner reference
revised
How far is a countably infinite reduced abelian $p$-group from being an infinite direct sum?
corrected false statement
revised
How far is a countably infinite reduced abelian $p$-group from being an infinite direct sum?
Add context
comment
How far is a countably infinite reduced abelian $p$-group from being an infinite direct sum?
Could you please explain why this is enough to conclude? As far as I understand, such a $b$ gives us a cyclic direct factor $C_{p^{k+1}}$, but I don't see how this is enough to obtain an infinite direct sum.
asked
How far is a countably infinite reduced abelian $p$-group from being an infinite direct sum?
comment
Element of order $p$ and finite height $\geq1$ in a reduced abelian group $p$-group with an element of order $p^2$
This is indeed a big sledgehammer, as in my context it would propably be better to avoid to talk about the Ulm-Kaplansky inviriants. Nevertheless, this is still a reference and I will take a look at Fuchs' book.
revised
Element of order $p$ and finite height $\geq1$ in a reduced abelian group $p$-group with an element of order $p^2$
edited title
asked
Element of order $p$ and finite height $\geq1$ in a reduced abelian group $p$-group with an element of order $p^2$
awarded
 Necromancer
awarded
 Necromancer
awarded
 Yearling
answered
Are infinite groups in which most elements have order $\leq 2$ commutative?
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