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Shaun
Shaun
15:33
Let g be in a group G and n be a natural number. Is there a name for the problem of determining all h in G not equal to the identity s.t. g=h^n?
group-theory (See above.)
in Mathematics, 30 secs ago, by Shaun
"The nth roots of a group element problem" perhaps?
definition terminology
in Mathematics, 22 secs ago, by Shaun
Of course, if g=/=e, then h=/=e, so I don't know why I specified that h is not the identity.
Shaun
Shaun
16:11
Related. I haven't read it all of it though . . .
 
2 hours later…
Martin Sleziak
Martin Sleziak
17:43
The above link is to this post on MO: Number of n-th roots of elements in a finite group and higher Frobenius-Schur indicators
Google found some papers by K. Ahmadidelir, but they seem to be about specific groups.
This seems to be the only one with review in Zentralblatt: zbmath.org/?q=an%3A1338.20072 (Sadeghieh, A.; Ahmadidelir, K.; n-th roots in finite polyhedral and centro-polyhedral groups. (English) Zbl 1338.20072; Proc. Indian Acad. Sci., Math. Sci. 125, No. 4, 487-499 (2015).)
 
2 hours later…
Shaun
Shaun
19:26
Thank you, @MartinSleziak. Happy New Year!

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