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math.RA2024

Rational equivalence on adjoint groups of type $^{1} D_{n}$ over field $Q_{P} (X)$

M. Archita

Let $F$ be the function field of a smooth, geometrically integral curve over a $p$ -adic field with $p \neq = 2.$ Let $G$ be a classical adjoint group of type $^{1} D_{n}$ defined over $F$ .…

math.GR2024

Exact bounds for the sum of the inverse-power of element orders in non-cyclic finite groups

M. Archita

Given a finite group $G$ of order $n .$ Denote the sum of the inverse-power of element orders in $G$ by $m (G) .$ Let $Z_{n}$ be the cyclic group of order $n .$ Suppose $G$ is a…

Rational equivalence on adjoint groups of type 1Dn​ over field QP​(X)

Exact bounds for the sum of the inverse-power of element orders in non-cyclic finite groups

Rational equivalence on adjoint groups of type $^{1} D_{n}$ over field $Q_{P} (X)$