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lagrange theorem

GATE CSE & IT · Algebraic Structures · 2014-2020

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Rosen — Discrete Mathematics and Its Applications

Discrete structures, counting, relations, graph theory

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2020 PYQ

Let G be a group of 35 elements. Then the largest possible size of a subgroup of G other than G itself is ______.

easybasic explanation
2018 PYQ

Let $$G$$ be a finite group on $$84$$ elements. The size of a largest possible proper subgroup of $$G$$ is ________.

easy
2014 PYQ

let $$G$$ be a group with $$15$$ elements. Let $$L$$ be a subgroup of $$G$$. It is known that $$L \ne G$$ and that the size of $$L$$ is at least $$4$$. The size of $$L$$ is ______.

easy