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What does years 1 to 9 mean?
They are mostly used in education circles to indicate the year level of a group of students. Year 1 is the first year of that group's education (new entrant, when they are 5 or 6), year 2 is their second year, etc.
What does 3 g g g mean?
dont you mean 3g ant it
What is subgroup in mathematics?
In mathematics, a subgroup H of a group G is a subset of G which is also a group with respect to the same group operation * defined on G. H contains the identity element of G, is closed with respect to *, and all elements of H have their inverses in H as well.
How do we prove that a finite group G of order p prime is cyclic using Lagrange?
Lagrange theorem states that the order of any subgroup of a group G must divide order of the group G. If order p of the group G is prime the only divisors are 1 and p, therefore the only subgroups of G are {e} and G itself. Take any a not equal e. Then the set of all integer powers of a is by definition a cyclic subgroup of G, but the only subgroup of G with more then 1 element is G itself, therefore G is cyclic. QED.
G is finite group if and only if the number of it is subgroups is finite?
False. G may be a finite group without sub-groups.
