Dr. Pradeep Kumar Rai

Research Areas:Finite Group Theory: p-groups, Schur multiplier, Automorphisms of groups.

Professional Experience:

• PBC Post Doctoral Fellow, Bar-Ilan University, Israel, Oct 2015-Jun 2017.
• Reviewer for Journal of Algebra, Journal of Algebra and its applications and International Journal of group theory.

Awards & Honours:

• INSPIRE Faculty Award, 2017.
• Received offers of INSPIRE Faculty Position by IISc. Bangalore, ISI Bangalore and IISER Bhopal.
• Received an offer of Post-Doctoral Fellowship by ISI Delhi, 2017 (Not Availed).
• Recipient of PBC (Planning and Budgeting Committee, Israel) Post Doctoral Fellowship, 2015.

Publications:

• Pradeep K. Rai, On Schur multiplier of special $p$-groups, J. Pure Appl. Algebr., 222 (2018), 316-322.
• Pradeep K. Rai,  A Note on the order of the Schur multiplier of $p$-groups, Int. J. Algebra Comput., Vol 27 (2017), 495-500.
• Pradeep K. Rai, On classification of groups having Schur multiplier of maximum order, Arch. Math. (Basel), Vol 107 (2016), 455-460.
• Pradeep K. Rai, On nilpotency of group of outer class-preserving automorphisms of groups,   J. Algebra Appl., Vol 15  (2016).
• Pradeep K. Rai and Manoj K. Yadav, On $\sch$-rigidity of groups of order $p^6$,   J. Algebra, Vol 428 (2015), 26-42.
• Pradeep K. Rai, On commuting automorphisms of finite $p$-groups,  Proc. Japan Acad. Ser. A Math. Sci, Vol 91 (2015), 57-60.
• Vivek K. Jain, Pradeep K. Rai and Manoj K. Yadav,  On finite $p$-groups with abelian automorphism group,   Internat. J. of Algebra Comput., Vol 23,  (2013), 1063-1077.
• Pradeep K. Rai, On class-preserving automorphisms of groups,  Ricerche Mat., Vol 63 (2014), 189-194.
• Pradeep K. Rai, On IA-automorphisms that fix the center element-wise,   Proc. Indian acad. Sci. (Math. Sci.), Vol 124,  (2014), 169-173.

Presentations:

• Class-preserving automorphisms of groups, Talk, University of L'Aquila, Italy, November 2014.
• Class-preserving automorphisms of groups, Talk,  Discussion meeting in Group Theory , IISER Mohali, May 2014.
• On Automorphisms of groups, Poster Presentation,  Ischia Group Theory Conference,  Naples, Italy , April 2014.
• finite $p$-groups with abelian automorphism group, Talk, International Conference on Group theory and Lie Theory, HRI Allahabad, India,  March  2012.