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math.GR2025
Non-isomorphic metacyclic -groups of split type with the same group zeta function
Yuto Nogata
For a finite group , let be the number of subgroups of order and define . Examples are known of non-isomorphic finite groups with…
math.GR2025
Classification and lattice properties of pronormal subgroups in PSL(2,q), J1, and Sz(q) for the specified values of q
Yuto Nogata
We complete the classification of pronormal subgroups in the projective special linear groups PSL(2,q), the Suzuki groups of Lie type Sz(q), and the first Janko group J1, for the s…