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math.RT2018
Representations and primitive central idempotents of a finite solvable group
Ravi S. Kulkarni, Soham Swadhin Pradhan
Let be a finite solvable group. Then always has a useful presentation, which we call a "long presentation". Using a "long presentation" of , we present an inductive meth…
math.RT2018
Representations induced from a normal subgroup of prime index
Soham Swadhin Pradhan
Let be a finite group, be a normal subgroup of prime index . Let be a field of either characteristic or prime to . Let be an irreducible -representat…
math.RT2018
Algorithmic construction of representations of finite solvable groups
Soham Swadhin Pradhan
The dominant theme of this thesis is the construction of matrix representations of finite solvable groups using a suitable system of generators. For a finite solvable group of…