Prof. G. P. Mazumdar

Prof. Dr. Prof. Prof.

Isoclinic Classification of Some Pairs $(G,G\')$ of $p$-Groups

‎‎The equivalence relation isoclinism partitions the class of all pairs of groups‎ ‎into families‎. ‎In this paper‎, ‎a complete classification of the set of all pairs $(G,G')$ is established‏‎,‎ whenever‎ $G$ is a $p$-group of order at most $p^5‎‏$‎ and ‎$p$ is a prime number greater than 3. Moreover‎, ‎the classification of pairs $(H,H')$ for extra special $p$-groups $H$ is also given.

Priyanka Sharma, Neha Arora, Prof. B. P .Singh

Design of a new sense amplifier-based flip-flop (SAFF) using GDI Technique and performance comparison of proposed SAFF with existing conventional SAFF with CMOS-NAND latch SAFF and SAFF with CMOS Symmetric latch is presented in this paper. It was found that the main drawback of existing SAFF’s is the cross-coupled set-reset (SR) latch in the output stage. The new flip-flop uses a new output sta...

N , p , q ) Harmonic Superspace G . G . Hartwell and P .

A family of harmonic superspaces associated with four-dimensional Minkowski spacetime is described. Applications are given to free mass-less supermultiplets, invariant integrals and super Yang-Mills. The generalisation to curved spacetimes is given with emphasis on confor-mal supergravities.

$G$-Weights and $p$-Local Rank

Let $k$ be field of characteristic $p$, andlet $G$ be any finite group with splitting field $k$. Assume that $B$ is a $p$-block of $G$.In this paper, we introduce the notion of radical $B$-chain $C_{B}$, and we show that the $p$-local rank of $B$ is equals the length of $C_{B}$. Moreover, we prove that the vertex of a simple $kG$-module $S$ is radical if and only if it has the same vertex of th...