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math.GR2020
On Schurs exponent conjecture and its relation to Noether's Rationality problem
Viji Z Thomas
In this short survey article, we aim to provide an up to date information on the progress made towards Schurs exponent conjecture and related conjectures. We also mention the conne…
math.GR2020
A lemma on the exponent of Schur multiplier of groups with good power structure
A. E Antony, P. Komma, V. Z. Thomas
In this note, we give short proofs of the well-known results that the exponent of the Schur multiplier $\M$ divides the exponent of $\G$ for finite $\p$-groups of maximal class and…
math.GR2020★ 2 cited
On the Exponent Conjectures
A. E. Antony, V. Z. Thomas
If is an odd prime, then we prove that $\e(H_2(G,\mathbb{Z})) \mid p\ \e(G)$ for groups of class 7. We prove the same for groups of class at most with $\e(Z(G))=p…