3.4: Reading Questions

Abstract Algebra: Theory and Applications · LibreTexts

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    From LibreTexts, under GNU Free Documentation, as the source states it; its equations are written in TeX, which the PDF shows typeset. This page at LibreTexts.

    In the group \(\mathbb Z_8\) compute, (a) \(6+7\text{,}\) and (b) \(2^{-1}\text{.}\)

    2

    In the group \(U(16)\) compute, (a) \(5\cdot 7\text{,}\) and (b) \(3^{-1}\text{.}\)

    3

    State the definition of a group.

    4

    Explain a single method that will decide if a subset of a group is itself a subgroup.

    5

    Explain the origin of the term “abelian” for a commutative group.

    6

    Give an example of a group you have seen in your previous mathematical experience, but that is not an example in this chapter.

    This page titled 3.4: Reading Questions was last modified on Tue, 01 Sep 2026 06:44:50 GMT and is shared under a GNU Free Documentation License 1.3 license and was authored, remixed, and/or curated by Thomas W. Judson (Abstract Algebra: Theory and Applications) via source content that was edited to the style and standards of the LibreTexts platform.