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Results tagged with finite-groups
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user 24501
Questions on group theory which concern finite groups.
3
votes
2
answers
549
views
Why a group of order $2^{m}\cdot p^{n}\cdot q^{t}$ is solvable?
It's known all groups of order $p^{m}q^{n}$ and all groups of odd order are
solvable (By Burnside theorem and Feit-Thompson theorem).
Let $G$ be a group of order $2^{m}\cdot p^{n}\cdot q^{t}$ where $ …
- 53
2
votes
1
answer
508
views
The number of cyclic groups of order 2p in a group
Let $t_{k}$ be the number of elements of order $k$ in the group $G$. It known that if $|P|=p$ (where $P$ is Sylow $p$-subgroup of $G$), then $t_{2p}$ is a multiple of $t_{p}$. Now let $|P|=p^{2}$, the …
- 53