Proof of "friendship" in group of 101 people
138601
There are $2n+1$ people. For each $n$ people there is somebody who is friend with each of them. Prove there is a "know-them-all" person.
84198
Step in Proof of Cardinality of Product of two Groups
33819
What does "the ${\bf N}$ of a group" mean?
81899
Could one be a friend of all?
45952
"In a party people shake hands with one another"
92057
Prove that for every odd integer n, there is a group...
102429
There are 2 groups of order 6 (up to isomorphism)
112237
prove this :$\sum_1^{100} A_i = \sum_0^{99} C_i $
2251
Can someone give me a hint on how to prove this?
92477
How many combinations of groups are there where no member of a group has been with another member before?
70793
Person, Persons, People, Peoples
88285
Intuition for groups
80367
Technical term for associating a group with the actions of a few
50679
Induction problem: "if the group has at least one player who is better than Messi, then all the members of the group are better than Messi"
29717
Not sure how to go about this group theory proof
95495
100 prisoners and a lightbulb
156319
Show that a group with $|G| = 33$ contains an element of order $3$