Results 61 to 70 of about 949,461 (274)
Cyclic Characters of Symmetric Groups [PDF]
Let \(S_n\) denote the symmetric group of degree \(n\) and \(C\) denote a subgroup of \(S_n\) generated by a cycle \(\sigma\) of order \(n\). Then \(\psi_i\colon C\to\mathbb{C}^*\) defined by \(\psi_i(\sigma)=\xi^i\), where \(\xi\) is a primitive \(n\)-th root of unity in the complex field \(\mathbb{C}\), is an irreducible ordinary character of \(C ...
Jöllenbeck, Armin, Schocker, Manfred
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Cryptochrome and PAS/LOV proteins play intricate roles in circadian clocks where they act as both sensors and mediators of protein–protein interactions. Their ubiquitous presence in signaling networks has positioned them as targets for small‐molecule therapeutics. This review provides a structural introduction to these protein families.
Eric D. Brinckman +2 more
wiley +1 more source
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
wiley +1 more source
The group of characters of an elementary Abelian group has been used to define duality between its subgroups, which in turn is extended to duality between group codes.
Adnan Abdulla Zain
doaj +1 more source
PICALM::MLLT10 translocated leukemia
This comprehensive review of PICALM::MLLT10 translocated acute leukemia provides an in‐depth review of the structure and function of CALM, AF10, and the fusion oncoprotein (1). The multifaceted molecular mechanisms of oncogenesis, including nucleocytoplasmic shuttling (2), epigenetic modifications (3), and disruption of endocytosis (4), are then ...
John M. Cullen +7 more
wiley +1 more source
Cyclic Soft Groups and Their Applications on Groups
In crisp environment the notions of order of group and cyclic group are well known due to many applications. In this paper, we introduce order of the soft groups, power of the soft sets, power of the soft groups, and cyclic soft group on a group. We also
Hacı Aktaş, Şerif Özlü
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Groups whose Sylow 2-groups have cyclic commutator groups. III
Publisher Summary The 2-groups dihedral, semi-dihedral, and wreath product are known as “Sylow 2-groups.” All groups having such a Sylow 2-group have been classified. Each of these 2-groups has a cyclic commutator group. However, it is unclear if these are the only 2-groups possessing cyclic commutator groups that can appear as Sylow 2-groups of ...
Department of Mathematics, University of Florida, Gainesville, Florida 32601 ∗ ∗ Present address: Department of Mathematics, California State University at Los Angeles, Los Angeles, California 90032. , USA ( host institution ) +1 more
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Bone metastasis in prostate cancer (PCa) patients is a clinical hurdle due to the poor understanding of the supportive bone microenvironment. Here, we identify stearoyl‐CoA desaturase (SCD) as a tumor‐promoting enzyme and potential therapeutic target in bone metastatic PCa.
Alexis Wilson +7 more
wiley +1 more source
Refined cyclic renormalization group in Russian doll model
Focusing on Bethe-Ansatz integrable models, robust to both time-reversal symmetry breaking and disorder, we consider the Russian Doll Model (RDM) for finite system sizes and energy levels.
Vedant Motamarri, Ivan M. Khaymovich, Alexander Gorsky
doaj +1 more source
Cyclicity degrees of finite groups [PDF]
We introduce and study the concept of cyclicity degree of a finite group $G$. This quantity measures the probability of a random subgroup of $G$ to be cyclic. Explicit formulas are obtained for some particular classes of finite groups. An asymptotic formula and several minimality/maximality results on cyclicity degrees are also inferred.
Tărnăuceanu, M., Tóth, L.
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