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pro vyhledávání: '"YADAV, MANOJ K."'
For a skew left brace $(G, \cdot, \circ)$, the map $\lambda : (G, \circ) \to \Aut \,(G, \cdot),~~a \mapsto \lambda_a,$ where $\lambda_a(b) = a^{-1} \cdot (a \circ b)$ for all $a, b \in G$, is a group homomorphism. Then $\lambda$ can also be viewed as
Externí odkaz:
http://arxiv.org/abs/2204.12247
Autor:
Kaushik, Rahul, Yadav, Manoj K.
We present a characterisation of groups $G$ of order $p^7$, $p$ prime, in which not all elements of the commutator subgroup $\gamma_2(G)$ of $G$ are commutators in $G$. On the way we obtain several structural results on groups of order $p^7$.
Co
Co
Externí odkaz:
http://arxiv.org/abs/2106.07205
Autor:
Nishant, Yadav, Manoj K.
The second cohomology group of a left skew brace with coefficients in a trivial left brace with non-trivial actions is defined, its connection with extensions of a left skew brace by a trivial braces is established and a Wells' like exact sequence re
Externí odkaz:
http://arxiv.org/abs/2102.12235
Autor:
Rathee, Nishant, Yadav, Manoj K.
Publikováno v:
In Journal of Pure and Applied Algebra February 2024 228(2)
COVID-19--a viral infectious disease--has quickly emerged as a global pandemic infecting millions of people with a significant number of deaths across the globe. The symptoms of this disease vary widely. Depending on the symptoms an infected person i
Externí odkaz:
http://arxiv.org/abs/2007.07988
Autor:
Kaushik, Rahul, Yadav, Manoj K.
Publikováno v:
J Algebra, Vol 568 (2021) 314-348
We present a classification of finite $p$-groups $G$ with $\gamma_2(G)$, the commutator subgroup of $G$, of order $p^4$ and exponent $p$ such that not all elements of $\gamma_2(G)$ are commutators.
Comment: 28 pages. Included the case $p=2$ and
Comment: 28 pages. Included the case $p=2$ and
Externí odkaz:
http://arxiv.org/abs/2005.13929
For a skew left brace $(G, \cdot, \circ)$, the map $\lambda : (G, \circ) \to \mathrm{Aut} \;(G, \cdot),~~a \mapsto \lambda_a$, where $\lambda_a(b) = a^{-1} \cdot (a \circ b)$ for all $a, b \in G$, is a group homomorphism. Then $\lambda$ can also be v
Externí odkaz:
http://arxiv.org/abs/2004.05555
Publikováno v:
Internat. J. Algebra Comput. 30 (2020), no. 4, 839-851
We improve Algorithm 5.1 of [Math. Comp. {\bf 86} (2017), 2519-2534] for computing all non-isomorphic skew left braces, and enumerate left braces and skew left braces of orders up to 868 with some exceptions. Using the enumerated data, we state some
Externí odkaz:
http://arxiv.org/abs/1907.08978
Publikováno v:
Journal of Algebra and Its Application, 2020
Let $q$ be a $p$-power where $p$ is a fixed prime. In this paper, we look at the $p$-power maps on unitriangular group $U(n,q)$ and triangular group $T(n,q)$. In the spirit of Borel dominance theorem for algebraic groups, we show that the image of th
Externí odkaz:
http://arxiv.org/abs/1905.04244
Autor:
Kamilya, Tuhin, Yadav, Manoj K., Ayoob, S., Tripathy, Subhasish, Bhatnagar, Amit, Gupta, Ashok K.
Publikováno v:
In Chemical Engineering Journal 1 January 2023 451 Part 3