# Late Prof. Inder Bir Singh Passi

### (Past Honorary Professor)

**Research Area:**Algebra

**Brief bio:**

The Department of Mathematical Sciences at IISER Mohali was initiated by Professor Inder Bir Singh in his capacity as an Honorary Professor back in 2007. I. B. S. Passi had been a Professor Emeritus at Panjab University, Honorary Professor at IISER Mohali, Professor at Ashoka University and INSA Emeritus Scientist. Earlier, he held several academic positions including Professor at Kurukshetra University, Professor at Panjab University, Visiting Professor at University of California Los Angeles, Universitaet Goettingen and Harish-Chandra Research Institute.

He was a recipient of the Shanti Swarup Bhatnagar Prize for Mathematical Sciences (1983), the Meghnad Saha Award for Research in Theoretical Sciences (1988), the Distinguished Service Award (2003) by Mathematical Association of India; Khosla National Award (2011) by the Indian Institute of Technology Roorkee and Prasanta Chandra Mahalanobis Medal (2011) by the Indian National Science Academy. He was a fellow of the Indian National Science Academy, the National Academy of Sciences and Indian Academy of Sciences.

His broad research interests were in algebra, including group theory, group rings, category theory, homological algebra, and homotopical methods in group theory. He authored/edited more than 10 books/monographs and over 100 research papers.

Selected Monographs:

(1) I. B. S. Passi, Mahender Singh and Manoj Yadav, Automorphisms of finite groups. Springer Monographs in Mathematics. Springer, Singapore, 2018. xix+217 pp.

(2) Roman Mikhailov and I. B. S. Passi, Lower central and dimension series of groups. Lecture Notes in Mathematics, 1952. Springer-Verlag, Berlin, 2009. xxii+346 pp.

(3) I. B. S. Passi, Group rings and their augmentation ideals. Lecture Notes in Mathematics, 715. Springer, Berlin, 1979. vi+137 pp.

Selected Textbooks:

(1) I. S. Luthar and I. B. S. Passi, Algebra: Volume 1, Narosa Publishing House, 280 pp.

(2) I. S. Luthar and I. B. S. Passi, Algebra: Volume 2: Rings, Narosa Publishing House, 349 pp.

(3) I. S. Luthar and I. B. S. Passi, Algebra: Volume 3: Modules, Narosa Publishing House, 354 pp.

(4) I. S. Luthar and I. B. S. Passi, Algebra: Volume 4: Field Theory, Narosa Publishing House, 310 pp.

Selected Research Papers:

(1) Roman Mikhailov and I. B. S. Passi, Dimension quotients, Fox subgroups and limits of functors. Forum Math. 31 (2019), no. 2, 385–401.

(2) Roman Mikhailov and I. B. S. Passi, Generalized dimension subgroups and derived functors. J. Pure Appl. Algebra 220 (2016), no. 6, 2143–2163.

(3) I. B. S. Passi, Mahender Singh and Manoj Yadav, Automorphisms of abelian group extensions. J. Algebra 324 (2010), no. 4, 820–830.

(4) Alfred W. Hales, I. B. S. Passi and Lawrence E. Wilson, The multiplicative Jordan decomposition in group rings. II. J. Algebra 316 (2007), no. 1, 109–132.

(5) Ioannis Emmanouil and I. B. S. Passi, Group homology and Connes’ periodicity operator. J. Pure Appl. Algebra 205 (2006), no. 2, 375–392.

(6) S. O. Juriaans, I. B. S. Passi and Dipendra Prasad, Hyperbolic unit groups. Proc. Amer. Math. Soc. 133 (2005), no. 2, 415–423.

(7) Gurmeet Kaur and I. B. S. Passi, Idempotents in matrix group rings. J. Pure Appl. Algebra 94 (1994), no. 3, 283–284.

(8) A. K. Bhandari, and I. B. S. Passi, Lie-nilpotency indices of group algebras. Bull. London Math. Soc. 24 (1992), no. 1, 68–70.

(9) Passi, I. B. S. Passi and D. S Passman, Algebraic elements in group rings. Proc. Amer. Math. Soc. 108 (1990), no. 4, 871–877.

(10) I. B. S. Passi, Sucheta and Kenichi Tahara, Dimension subgroups and Schur multiplicator. Japan. J. Math. (N.S.) 13 (1987), no. 2, 371–379.

(11) N. D.Gupta, A. W. Hales and I. B. S. Passi, Dimension subgroups of metabelian groups. J. Reine Angew. Math. 346 (1984), 194–198.

(12) S. K. Arora and I. B. S. Passi, Annihilator ideals in twisted group rings. J. London Math. Soc. (2) 15 (1977), no. 2, 217–220.

(13) I. B. S. Passi and Sneh Sharma, The third dimension subgroup mod n. J. London Math. Soc. (2) 9 (1974/75), 176–182.

(14) I. B. S. Passi, Polynomial maps on groups. II. Math. Z. 135 (1973/74), 137–141.

(15) I. B. S. Passi and Urs Stammbach, A filtration of Schur multiplicator. Math. Z. 135 (1973), 143–148.

(16) M. M. Parmenter, I. B. S. Passi and S. K. Sehgal, Polynomial ideals in group rings. Canadian J. Math. 25 (1973), 1174–1182.

(17) I. B. S. Passi, D. S. Passman and S. K. Sehgal, Lie solvable group rings. Canadian J. Math. 25 (1973), 748–757.

(18) I. B. S. Passi and L. R. Vermani, The inflation homomorphism. J. London Math. Soc. (2) 6 (1972), 129–136.

(19) I. B. S. Passi and S. K. Sehgal, Isomorphism of modular group algebras. Math. Z. 129 (1972), 65–73.

(20) I. B. S. Passi, Polynomial functors. Proc. Cambridge Philos. Soc. 66 (1969), 505–512.

Mathscinet profile of I. B. S. Passi

https://mathscinet.ams.org/