diff --git a/fastcrypto-vdf/src/class_group/mod.rs b/fastcrypto-vdf/src/class_group/mod.rs
index 35b4d4f65..58514aef9 100644
--- a/fastcrypto-vdf/src/class_group/mod.rs
+++ b/fastcrypto-vdf/src/class_group/mod.rs
@@ -6,7 +6,7 @@
 //! for the composition.
 
 use crate::math::extended_gcd::{extended_euclidean_algorithm, EuclideanAlgorithmOutput};
-use crate::math::parameterized_group::{ParameterizedGroupElement, UnknownOrderGroupElement};
+use crate::math::parameterized_group::ParameterizedGroupElement;
 use core::cell::OnceCell;
 use discriminant::Discriminant;
 use fastcrypto::error::FastCryptoError::InvalidInput;
@@ -374,8 +374,6 @@ impl Neg for QuadraticForm {
     }
 }
 
-impl UnknownOrderGroupElement for QuadraticForm {}
-
 impl PartialEq for QuadraticForm {
     fn eq(&self, other: &Self) -> bool {
         // Ignore the partial_gcd_limit field
diff --git a/fastcrypto-vdf/src/math/parameterized_group.rs b/fastcrypto-vdf/src/math/parameterized_group.rs
index 7544f1d31..527d5f70a 100644
--- a/fastcrypto-vdf/src/math/parameterized_group.rs
+++ b/fastcrypto-vdf/src/math/parameterized_group.rs
@@ -44,6 +44,3 @@ pub trait ParameterizedGroupElement:
     /// Return the parameter for the group this element belongs to.
     fn parameter(&self) -> Self::ParameterType;
 }
-
-/// Trait impl'd by elements of groups where the order is unknown.
-pub trait UnknownOrderGroupElement {}
diff --git a/fastcrypto-vdf/src/vdf/wesolowski/fiat_shamir.rs b/fastcrypto-vdf/src/vdf/wesolowski/fiat_shamir.rs
index fb9cac25d..cbe7f616c 100644
--- a/fastcrypto-vdf/src/vdf/wesolowski/fiat_shamir.rs
+++ b/fastcrypto-vdf/src/vdf/wesolowski/fiat_shamir.rs
@@ -4,7 +4,7 @@
 use crate::class_group::discriminant::Discriminant;
 use crate::class_group::QuadraticForm;
 use crate::math::hash_prime::hash_prime;
-use crate::math::parameterized_group::{ParameterizedGroupElement, UnknownOrderGroupElement};
+use crate::math::parameterized_group::ParameterizedGroupElement;
 use crate::vdf::wesolowski::WesolowskisVDF;
 use fastcrypto::groups::multiplier::ScalarMultiplier;
 use num_bigint::BigInt;
@@ -13,7 +13,7 @@ use serde::Serialize;
 /// Default size in bytes of the Fiat-Shamir challenge used in proving and verification.
 pub const DEFAULT_CHALLENGE_SIZE_IN_BYTES: usize = 32;
 
-pub trait FiatShamir<G: ParameterizedGroupElement + UnknownOrderGroupElement>: Sized {
+pub trait FiatShamir<G: ParameterizedGroupElement>: Sized {
     /// Compute the prime modulus used in proving and verification. This is a Fiat-Shamir construction
     /// to make the Wesolowski VDF non-interactive.
     fn compute_challenge<M: ScalarMultiplier<G, G::ScalarType>>(
diff --git a/fastcrypto-vdf/src/vdf/wesolowski/mod.rs b/fastcrypto-vdf/src/vdf/wesolowski/mod.rs
index d5eb5f715..bcc4b61e5 100644
--- a/fastcrypto-vdf/src/vdf/wesolowski/mod.rs
+++ b/fastcrypto-vdf/src/vdf/wesolowski/mod.rs
@@ -2,7 +2,7 @@
 // SPDX-License-Identifier: Apache-2.0
 
 use crate::class_group::QuadraticForm;
-use crate::math::parameterized_group::{ParameterizedGroupElement, UnknownOrderGroupElement};
+use crate::math::parameterized_group::ParameterizedGroupElement;
 use crate::vdf::VDF;
 use fastcrypto::error::FastCryptoError::{InvalidInput, InvalidProof};
 use fastcrypto::error::FastCryptoResult;
@@ -19,7 +19,7 @@ mod fiat_shamir;
 /// An implementation of Wesolowski's VDF construction (https://eprint.iacr.org/2018/623) over a
 /// group of unknown order.
 pub struct WesolowskisVDF<
-    G: ParameterizedGroupElement + UnknownOrderGroupElement,
+    G: ParameterizedGroupElement,
     F: FiatShamir<G>,
     M: ScalarMultiplier<G, G::ScalarType>,
 > {
@@ -29,11 +29,8 @@ pub struct WesolowskisVDF<
     _scalar_multiplier: PhantomData<M>,
 }
 
-impl<
-        G: ParameterizedGroupElement + UnknownOrderGroupElement,
-        F: FiatShamir<G>,
-        M: ScalarMultiplier<G, G::ScalarType>,
-    > WesolowskisVDF<G, F, M>
+impl<G: ParameterizedGroupElement, F: FiatShamir<G>, M: ScalarMultiplier<G, G::ScalarType>>
+    WesolowskisVDF<G, F, M>
 {
     /// Create a new VDF using the group defined by the given group parameter. Evaluating this VDF
     /// will require computing `2^iterations * input` which requires `iterations` group operations.
@@ -48,7 +45,7 @@ impl<
 }
 
 impl<
-        G: ParameterizedGroupElement<ScalarType = BigInt> + UnknownOrderGroupElement,
+        G: ParameterizedGroupElement<ScalarType = BigInt>,
         F: FiatShamir<G>,
         M: ScalarMultiplier<G, BigInt>,
     > VDF for WesolowskisVDF<G, F, M>