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5,059 results on '"Singh, Mandeep"'

17. On the conjecture of non-inner automorphisms of finite $p$-groups

Author

Singh, Mandeep and Sharma, Mahak

Subjects
Mathematics - Group Theory
Abstract

Let $p$ be a prime number. A longstanding conjecture asserts that every finite non-abelian $p$-group has a non-inner automorphism of order $p$. In this paper, we prove that if $G$ is an odd order finite non-abelian monolithic $p$-group such that every maximal subgroup of $G$ is non-abelian and $[Z(M), g] \leq Z(G)$ for every maximal subgroup $M$ of $G$ and $g \in G \setminus M$. Then $G$ has a non-inner automorphism of order $p$ leaving the Frattini subgroup $\Phi(G)$ elementwise fixed.

Published
2024

18. Weighted Fourier inequalities and application of restriction theorems on rank one Riemannian symmetric spaces of noncompact type

Author

Kumar, Pratyoosh, Pusti, Sanjoy, Rana, Tapendu, and Singh, Mandeep

Subjects
Mathematics - Classical Analysis and ODEs, Mathematics - Functional Analysis, Primary 43A85, 43A90, Secondary 22E30
Abstract

This article explores weighted $(L^p, L^q)$ inequalities for the Fourier transform in rank one Riemannian symmetric spaces of noncompact type. We establish both necessary and sufficient conditions for these inequalities to hold. To prove the weighted Fourier inequalities, we apply restriction theorems on symmetric spaces and utilize Calder{\'o}n's estimate for sublinear operators. While establishing the necessary conditions, we demonstrate that Harish-Chandra's elementary spherical functions play a crucial role in this setting. Furthermore, we apply our findings to derive Fourier inequalities with polynomial and exponential weights., Comment: 32 pages, comments are welcome

Published
2024

31. Subgrade Instability and Stiffness Degradation of Subgrade Soils Prone to Fluidisation

Author

Singh, Mandeep, Indraratna, Buddhima, Rujikiatkamjorn, Cholachat, Nguyen, Thanh Trung, di Prisco, Marco, Series Editor, Chen, Sheng-Hong, Series Editor, Vayas, Ioannis, Series Editor, Kumar Shukla, Sanjay, Series Editor, Sharma, Anuj, Series Editor, Kumar, Nagesh, Series Editor, Wang, Chien Ming, Series Editor, Cui, Zhen-Dong, Series Editor, Lu, Xinzheng, Series Editor, Rujikiatkamjorn, Cholachat, editor, Xue, Jianfeng, editor, and Indraratna, Buddhima, editor

Published
2025
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32. A Review on Recent Breakthroughs and Accomplishments in the Development of FeFET

Author

Reddy, B. Vimala, Chaudhary, Tarun, Singh, Mandeep, Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Rawat, Sanyog, editor, Kumar, Arvind, editor, Raman, Ashish, editor, Kumar, Sandeep, editor, and Pathak, Parul, editor

Published
2025
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