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- W3037965485 abstract "If $p$ is an odd prime, then we prove that $e(H_2(G,mathbb{Z})) mid p e(G)$ for $p$ groups of class 7. We prove the same for $p$ groups of class at most $p+1$ with $e(Z(G))=p$. We also prove Schurs conjecture if $e(G/Z(G))$ is $2,3$ or $6$. Furthermore we prove that if $G$ is a solvable group of derived length $d$ and $e(G)=p$, then $e(H_2(G,mathbb{Z})) mid (e(G))^{d-1}$. We also show that if $G$ is a finite $2$ or $3$ generator group of exponent 5, then $e(H_2(G,mathbb{Z})) mid (e(G))^2$." @default.
- W3037965485 created "2020-07-02" @default.
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- W3037965485 date "2020-05-23" @default.
- W3037965485 modified "2023-09-26" @default.
- W3037965485 title "On the Exponent Conjectures" @default.
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