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Results tagged with p-groups
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user 157261
3
votes
Accepted
Status of a conjecture of Thompson
The conjecture is still open. The most recent paper where this Thompson's paper was mentioned was published in 2016: Rowley, Peter; Taylor, Paul An algorithm for the Thompson subgroup of a p-group. …
- 1,832
0
votes
How many elements of each order are there in this $p$-group?
We have $m=\phi(p^{k+1})=p^k(p-1)$. Since the orders of all cyclic factors $<p^k$, the number of Prufer factors should be at least 1, at least one coordinate of every element of order $p^{k+1}$ must …
- 1,832