For each of the following groups, find the smallest integer n such that the group has a faithful operation on a set of order n: (a) D4, (b) D6, (c) the quaternion group H.

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19-12-2022
Mathematics

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For each of the following groups, find the smallest integer n such that the group has a faithful operation on a set of order n: (a) D4, (b) D6, (c) the quaternion group H.

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shomerajeshwari90 shomerajeshwari90 · Answer 1 · 2022-12-22T22:40:38-05:00

the smallest integer n such that the group has a faithful operation on a set of order n: is (a) D4

What is direct product of groups?

The direct product, often written as G x H, is an operation used in group theory, a branch of mathematics, to create a new group from two existing ones. This operation, one of several crucial direct product concepts in mathematics, is the group-theoretic equivalent of the Cartesian product of sets.

learn more about of group here

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