This is the principle with regard to similar matters: Whoever is not obligated to do a certain matter cannot discharge the obligation on behalf of the community.

(1)Laws of the Conduct of the Prayer Leader during the Eighteen Blessings [i.e. Amidah], and the Laws of Answering Amen. Containing 12 S'ifim:
After the congregation finishes their prayer [i.e. Amidah], the prayer leader repeats the prayer, so that if there is anyone who does not know how to pray [the Amidah], [that person] will pay attention to what [the prayer leader] is saying and fulfill [that person's] obligation through that. And that one who is fulfilling an obligation through the prayer of the prayer leader must pay attention to everything that [the prayer leader] says, from beginning to end, and may not interrupt and may not converse, and [that person] steps three steps backwards just like one who prays by oneself.

(3)Women, slaves and minors are exempt from the recitation of Shema and from phylacteries, but are obligated in prayer, mezuza and Grace after Meals.

(3)One does not recite the introductory prayers and blessing [poresin] before Shema; nor does one pass before the ark to repeat the Amida prayer; nor do the priests lift their hands to recite the Priestly Benediction; nor is the Torah read in public; nor does one conclude with a reading from the Prophets [haftara] in the presence of fewer than ten men. And one does not observe the practice of standing up and sitting down for the delivery of eulogies at a funeral service; nor does one recite the mourners’ blessing or comfort mourners in two lines after the funeral; or recite the bridegrooms’ blessing; and one does not invite others to recite Grace after Meals, i.e., conduct a zimmun, with the name of God, with fewer than ten men present. If one consecrated land and now wishes to redeem it, the land must be assessed by nine men and one priest, for a total of ten. And similarly, assessing the value of a person who has pledged his own value to the Temple must be undertaken by ten people, one of whom must be a priest.

The Sages taught in a Tosefta (Megilla 3:11): All people count toward the quorum of seven readers, even a minor and even a woman. However, the Sages said that a woman should not read the Torah, out of respect for the congregation.

Rabba and Rav Yosef both say: One does not read from ḥumashim in the synagogue out of respect for the community.

“And on the tenth,” from the book of Numbers (29:7), he reads by heart. The Gemara asks: Why does he read it by heart? Let him furl the scroll to that portion and read it from the text. Rav Huna, son of Rav Yehoshua, said that Rav Sheshet said: It is because one may not furl a Torah scroll in public, out of respect for the community.

We learned in the mishna: One whose limbs are exposed [poḥe’aḥ] may recite the introductory prayers and blessing before Shema and translate the Torah reading into Aramaic, but he may not read from the Torah. Ulla bar Rav raised a dilemma before Abaye: What is the halakha with regard to whether a minor whose limbs are exposed may read from the Torah? Can it be argued that a minor’s bare limbs do not fall under the category of nakedness, and therefore it is permitted for him to read the Torah despite the fact that parts of his body are exposed? Abaye said to him: And according to this reasoning, raise the dilemma with regard to a minor who is totally naked. What is the reason that a minor who is naked may not read the Torah? It is due to respect for the public. Here, too, a poḥe’aḥ may not read from the Torah due to respect for the public.

And Rabbi Tanḥum says that Rabbi Yehoshua ben Levi says: The prayer leader is not permitted to uncover the decorative covering of the ark in public, out of respect for the congregation.

During the week in which the Ninth of Av occurs, it is prohibited to cut one’s hair and to launder clothes...

It is prohibited to launder before the Ninth of Av... And our ironing in Babylonia is like their plain laundering in Eretz Yisrael.