Giambattista Suardi is not a widely recognized figure, brand, or concept based on commonly available knowledge up to October 2023. It's possible that he could be a lesser-known individual, such as an artist, scholar, or historical figure, or there may be more context required to accurately identify who or what he is associated with.

Giorgio Bidone does not appear to be a widely recognized public figure, brand, or entity as of my last knowledge update in October 2023. It's possible that he could be a private individual, a professional in a specific field, or a local notable person not covered in mainstream sources.

As of my last knowledge update in October 2021, there isn't any widely known figure or concept named Giovanni Pighizzini in popular culture, history, or academia. It is possible that he is a private individual or someone who has gained recognition after that date.

Ilaria Perugia is an Italian name that may refer to a specific individual, but without additional context, it is difficult to determine exactly whom you are referring to. It could be the name of a notable figure in various fields, such as arts, sciences, or academia.

Sara Lombardo may refer to an individual, but without more context, it's difficult to provide specific information. There could be various people by that name in different fields such as arts, sciences, or public life.

As of my last knowledge update in October 2023, there is no widely recognized entity, concept, or individual known as "Angelo Bellani." It is possible that it could refer to a lesser-known person, a fictional character, or a term that has emerged recently.

Group of all permutations.

Group of even permutations.

Note that odd permutations don't form a subgroup of the symmetric group like the even permutations do, because the composition of two odd permutations is an even permutation.

17 of them.

In the classification of finite simple groups, groups of Lie type are a set of infinite families of simple lie groups. These are the other infinite families besides te cyclic groups and alternating groups.

A decent list at: en.wikipedia.org/wiki/List_of_finite_simple_groups, en.wikipedia.org/wiki/Group_of_Lie_type is just too unclear. The groups of Lie type can be subdivided into:

The first in this family discovered were a subset of the Chevalley groups $A_n(q)$ by Galois: $PSL(2,p)$, so it might be a good first one to try and understand what it looks like.

TODO understand intuitively why they are called of Lie type. Their names $A_n$, $B_n$ seem to correspond to the members of the classification of simple Lie groups which are also named like that.

But they are of course related to Lie groups, and as suggested at Video "Yang-Mills 1 by David Metzler (2011)" part 2, the continuity actually simplifies things.

Apparently only Mathieu group $M_{12}$ and Mathieu group $M_{24}$.

www.maths.qmul.ac.uk/~pjc/pps/pps9.pdf mentions:Hmm, is that 54, or more likely 5 and 4?

scite.ai/reports/4-homogeneous-groups-EAKY21 quotes link.springer.com/article/10.1007%2FBF01111290 which suggests that is is also another one of the Mathieu groups, math.stackexchange.com/questions/698327/classification-of-triply-transitive-finite-groups#comment7650505_3721840 and en.wikipedia.org/wiki/Mathieu_group_M12 mentions $M_{12}$.

Eugene Fubini (1904–1972) was an Italian mathematician known for his contributions to mathematical analysis, particularly in the fields of functional analysis and measure theory. He is best known for the Fubini theorem, which provides conditions under which it is possible to compute the double integral of a function over a product space by iterated integrals.

Giuliano Toraldo di Francia is an Italian philosopher and scientist known for his contributions to the philosophy of science and logic. He has worked on various topics, including epistemology, the philosophy of mathematics, and the foundations of science. His work often explores the nature of scientific theories, the role of models in scientific explanation, and how scientific practice relates to philosophical inquiry.

Giuseppe Caglioti is not widely recognized as a public figure or concept in historical or cultural contexts as of my last update in October 2023. It is possible that he could be a figure in a specific localized context, an emerging public figure, or perhaps related to a specific field such as academia, art, or science that hasn't received widespread attention.

Giuseppe Carleo is an Italian theoretical physicist known for his work in quantum computing, quantum information theory, and statistical mechanics. He has contributed significantly to the field of machine learning in physics, particularly in the context of using neural networks and other machine learning techniques to solve complex problems in quantum many-body systems. His research often involves the application of artificial intelligence and deep learning to enhance our understanding of quantum states and phase transitions.

Maria Novella Piancastelli is an Italian brand known for its high-quality, artisanal products that often include perfumes, soaps, and other scented items. The brand emphasizes traditional craftsmanship, often using natural ingredients and historical methods in their production processes.

Riccardo Felici is not a widely recognized public figure or concept as of my last knowledge update in October 2023. It's possible that he may be a private individual, a local figure, or have gained prominence after that date.

Ishirō Honda was a prominent Japanese film director best known for his work in the science fiction and kaiju (monster) film genres. Born on May 7, 1911, in the Yamagata Prefecture, Honda became famous for directing several iconic films in the Godzilla franchise, including the original "Godzilla" (1954), which is considered a classic of the genre and a significant work in Japanese cinema.

Hayato Chiba is a character from the anime and manga series "Gundam Build Divers." He is known for being one of the skilled Gunpla builders and pilots within the narrative. The series focuses on a virtual environment where players can engage in battles using their customized Gundam models (Gunpla) and highlights themes of teamwork, friendship, and competition.

Hiroshi Umemura is a Japanese mathematician known for his contributions to various fields of mathematics, particularly in algebraic geometry and number theory. His research often focuses on topics related to arithmetic geometry, modular forms, and the study of algebraic curves. Umemura has published numerous papers and collaborated with other mathematicians, contributing to the development of mathematical theory and knowledge.