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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…
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…
On the Exponent of the Schur Multiplier
Ammu. E. Antony, Komma Patali, Viji. Z. Thomas
A longstanding problem attributed to I. Schur says that for a finite group , the exponent of the second homology group divides the exponent of . In this…
On the exponent conjecture of Schur
Ammu E Antony, Komma Patali, Viji Z Thomas
It is a longstanding conjecture that for a finite group , the exponent of the second homology group divides the exponent of . In this paper, we prove thi…