# group theory

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## group theory

Psychology A theory that explains human behavior by studying the regular interactions of social groups that have a degree of association and interdependence Types of social groups Formal, informal, informal allied, institutionalized allied
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Since there are infinite primes p, so there exist infinite group positive integers ([m.sub.1], [m.sub.2] ..., [m.sub.k]) satisyfying the equation
Whether there exist infinite group positive integers ([m.sub.1], [m.sub.2]) such that SJ [m.sub.1] + [m.sub.2]) = [S.sub.c]([m.sub.1]) + [S.sub.c][m.sub.2])?
Since there are infinite prime p, so there exist infinite group positive integers ([m.sub.1], [m.sub.2], [m.sub.k]) such that the equation
For any positive integer k [greater than or equal to] 5, there exist infinite group positive integers ([m.sub.1], [m.sub.2], ...
Whether there exist infinite group positive integers ([m.sub.1], [m.sub.2], [m.sub.3], [m.sub.4]) such that the equation
For any fixed positive integer n [greater than or equal to] 1, the inequality (1) has infinite group positive integer solutions ([x.sub.1], [x.sub.2], ..., [x.sub.n]).
Therefore, the inequality (1) has infinite group positive integer solutions ([x.sub.1], [x.sub.2], ..., [x.sub.n]).
He takes a modern, geometric approach to group theory, which is particularly useful in the study of infinite groups, focusing on Cayley's theorems first, including his basic theorem, the symmetry groups of graphs, or bits and stabilizers, generating sets and Cayley graphs, fundamental domains and generating sets, and words and paths.
has infinite groups positive integer solutions ([m.sub.1], [m.sub.2],..., [m.sub.k]).
Jozsef Sandor [5] proved for any positive integer k [greater than or equal to] 2, there exist infinite groups of positive integer solutions ([m.sub.1], [m.sub.2],..., [m.sub.k]) satisfied the following inequality:
Jozsef Sandor [7] proved for any positive integer k [greater than or equal to] 2, there exist infinite groups positive integer solutions ([m.sub.1], [m.sub.2],..., [m.sub.k]) satisfied the following inequality:
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