Výsledky vyhledávání - "Tushar Kanta Naik"

Structure and automorphisms of pure virtual twin groups

Autor: Tushar Kanta Naik, Neha Nanda, Mahender Singh

Publikováno v: Monatshefte für Mathematik.

Study of stable isotopy classes of a finite collection of immersed circles without triple or higher intersections on closed oriented surfaces is considered as a planar analogue of virtual knot theory, a far reaching generalisation of classical knot t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8a6bf791ddd88d17f1b68083f90fac6
https://doi.org/10.1007/s00605-023-01851-0

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Nilpotent Lie Algebras of breadth type $(0,3)$

Autor: Rijubrata Kundu, Tushar Kanta Naik, Anupam Singh

For a natural number $m$, a Lie algebra $L$ over a field $k$ is said to be of breadth type $(0, m)$ if the co-dimension of the centralizer of every non-central element is of dimension $m$. In this article, we classify finite dimensional nilpotent Lie

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http://arxiv.org/abs/2111.04968

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On the probability distribution associated to commutator word map in finite groups

Autor: Tushar Kanta Naik

Publikováno v: Communications in Algebra. 47:3808-3817

Let P(G) denotes the set of sizes of fibers of nontrivial commutators of the commutator word map. Here, we prove that |P(G)|=1, for any finite group G of nilpotency class 3 with exactly two conjuga...

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7180d0c35be2f467487814fa54825da8
https://doi.org/10.1080/00927872.2019.1570239

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Finite $\smash{p}$\hbox{-}groups of conjugate type {1,p 3}

Autor: Tushar Kanta Naik, Manoj K. Yadav

Publikováno v: Journal of Group Theory. 21:65-82

We classify finite p-groups, up to isoclinism, which have only two conjugacy class sizes 1 and p 3 {p^{3}} . It turns out that the nilpotency class of such groups is 2.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fd1b4af6a4df5e835ca189a99f51e526
https://doi.org/10.1515/jgth-2017-0026

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Some remarks on twin groups

Autor: Tushar Kanta Naik, Mahender Singh, Neha Nanda

The twin group $T_n$ is a right angled Coxeter group generated by $n- 1$ involutions and having only far commutativity relations. These groups can be thought of as planar analogues of Artin braid groups. In this note, we study some properties of twin

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