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Results tagged with finite-groups
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user 33508
Questions on group theory which concern finite groups.
5
votes
1
answer
1k
views
Finite groups with no elements of order $p^2q$
Let $G$ be a finite group. What can be said if $G$ has the following Property P: $G$ has no element of order $p^2q$ for any two distinct primes $p,q$?
In particular, which finite simple groups sa …
- 81
3
votes
2
answers
415
views
element of order n such that $\pi(n)=\pi(G)$, where $\pi(n)$ denote the prime divisors of $n$
Hello. I thank for your answer, in advance.
Let $G$ be a finite group and $G$ has an element of order $n$ such that $\pi(n)=\pi(G)$
where $\pi(n)$ denote the set of prime divisors of $n$ and $\pi(G)$ …
- 81