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- Thread starter flamengo
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Stephen Tashi

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So why is this problem that the paper responds to is never explicit in the text by the authors?

Why do you think that?

Most published mathematical papers have abstracts and introductions that clearly state the problem they are solving and give background information about previous work on the problem or similar problems.

- #3

mfb

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This is the abstract:

Ignore the mathematics behind it, just have a look at the structure: The first sentence presents previous results. The second sentence states the goal (extend these results). The third mentions the methods used and shows what has been achieved (classify some stuff). The following sentences extend that and present more results.Whiston proved that the maximum size of an irredundant generating sequence in the symmetric group S_{n}is n−1, and Cameron and Cara characterized all irredundant generating sets of S_{n}that achieve this size. Our goal is to extend their results. Using properties of transitive subgroups of the symmetric group, we are able to classify all irredundant generating sets with sizes n−2 in both A_{n}and S_{n}. Next, based on this classification, we derive other interesting properties for the alternating group A_{n}. Finally, using Whiston's lemma, we will derive some formulas for calculating dimension-like invariants of some specific classes of wreath products.

What exactly are you missing?

Here are some more randomly picked abstracts, they all follow a similar structure. Sometimes the abstract doesn't explicitly reference previous work but directly explain the new result. The corresponding question is clear to experts in the field, and even without expert knowledge you can typically figure it out. If the result is "we show number X is Y", then the question is "what is number X".

https://arxiv.org/abs/1712.03247

https://arxiv.org/abs/1712.03224

https://arxiv.org/abs/1712.03226

https://arxiv.org/abs/1712.03861

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