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math.GR2026
Total 3-closure for projective special linear groups
Ting Gong, Yong Yang, Michael Ruofan Zeng
A finite group is totally -closed if every faithful permutation representation of it is -closed. We study this property for the finite simple projective special linear groups…
math.GR2026
Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements
Ting Gong, Yong Yang, Michael Ruofan Zeng
For any distinct primes and , we prove that there is a finite group which does not embed into any finite group invariably generated by an element of order and an element…