This a typical "modern" approach to these verses of Scripture and a very dangerous one. Since Paul connected his statements to a "commandment of the Lord". Paul gives full explanation as to why women are to be silent during the assembly proceedings:
1Ti 2:13-14 For Adam was first formed, then Eve; and Adam was not beguiled, but the woman being beguiled hath fallen into transgression:
Scripture teaches both in Genesis and here that the the woman is more prone to being mislead. This doesn't go over well today. It was well excepted in most churches until the "woman's liberation movement" of the late 50's and 60s. Churches began to placate women and their position in the church because of what women saw as inequalities in society.
The law that Paul was referring to can be found in OT verses regarding the woman being in subjection to her husband and not having authority over men. You used the word "dominion", which is an old English word that is rarely used today. It is better understood by the word "authority". Men are to have authority over their wives because men are the head of the household, just as Christ is the head of the church. Christ is the head of male believers. Male believers are the head of their believing wives and believing women in general. This is proper Biblical order, therefore, proper Godly order. 1Co 11:3 But I would have you know, that the head of every man is Christ; and the head of the woman is the man; and the head of Christ is God.
Now to the Old Testament and what Paul was undoubtedly thinking about when he said law:
Gen 2:18 And Jehovah God said, It is not good that the man should be alone; I will make him a help meet for him. Being a help mate, is what is implied in the term "subjection".
Gen_3:16 Unto the woman he said, I will greatly multiply thy pain and thy conception; in pain thou shalt bring forth children; and thy desire shall be to thy husband, and he shall rule over thee. This authority over the woman was a judgement subsequent to the fall because eve was the first in the transgression.
Here are a few quotes from commentators of the past centuries and how they viewed this commandment "of women keeping silent", in the churches:
Albert Barnes (1798-1870)
Let your women keep silence ... - This rule is positive, explicit, and universal. There is no ambiguity in the expressions; and there can be no difference of opinion, one would suppose, in regard to their meaning. The sense evidently is, that in all those things which he had specified, the women were to keep silence; they were to take no part. He had discoursed of speaking foreign languages, and of prophecy; and the evident sense is, that in regard to all these they were to keep silence, or were not to engage in them. These pertained solely to the male portion of the congregation. These things constituted the business of the public teaching; and in this the female part of the congregation were to be silent. “They were not to teach the people, nor were they to interrupt those who were speaking” - Rosenmuller. It is probable that, on pretence of being inspired, the women had assumed the office of public teachers.
John Gill (1697-1771)
Let your women keep silence in the churches,.... This is a restriction of, and an exception to one of the above rules, that all might prophesy; in which he would be understood of men only, and not of women; and is directed against a practice which seems to have prevailed in this church at Corinth, allowing women to preach and teach in it; and this being a disorderly practice, and what was not used in other churches, the apostle forbids and condemns, and not without reason:
for it is not permitted unto them to speak; that is, in public assemblies, in the church of God, they might not speak with tongues, nor prophesy, or preach, or teach the word. All speaking is not prohibited; they might speak their experiences to the church, or give an account of the work of God upon their souls; they might speak to one another in psalms, hymns, and spiritual songs; or speak as an evidence in any case at a church meeting; but not in such sort, as carried in it direction, instruction, government, and authority. It was not allowed by God that they should speak in any authoritative manner in the church; nor was it suffered in the churches of Christ; nor was it admitted of in the Jewish synagogue; there, we are told (b), the men came to teach, and the women לשמוע, "to hear"
If you compare these comments to modern commentators, then you will see the change creeping in.