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G is finite where the number of subgroups in g is finite?
Actually a stronger statement can be made:A group G is finite if and only if the number of its subgroups is finiteLet G be a group. If G is finite there is only a finite number of subsets of G, so clearlya finite number of subgroups.Now suppose G is infinite , let'ssuppose one element has infinite order. The this element generates an infinite cyclicgroup which in turn contains infinitely many subgroups.Now suppose all the subgroups have finite order Take some element of G and let it generate a finite group H. Now take another element of G not in H and let it generate a finite group I. Keep doing this by next picking an element of G not H or I. You can continue this way.
Is turquoise apart of a mineral group or mineral class?
Turquoise is a member of the turquoise group and is classed as a phosphate. Phosphates are a class of minerals that is part of a large and diverse group of minerals.
What is a group of students called collective noun?
no. it must be class
What is the syllabus for play group?
You don't need a syllabus for a play group. It is play and not a class. A syllabus is used for a college class to tell the students what chapters they need to read by certain dates and when the tests are.
Which new social group emerged in 18th century in france?
middle class
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.
What is a Definition for algebraic equation?
an equation in the form of a polynomial having a finite number of terms and equated to zeroan equation in the form of a polynomial having a finite number of terms and equated to zero
Every finite group is isomorphic to a permutation group?
yes form cayleys theorem . every group is isomorphic to groups of permutation and finite groups are not an exception.
What is an alternating group?
In group theory, an alternating group is a group of even permutations of a finite set.
What has the author Wolfgang Hamernik written?
Wolfgang Hamernik has written: 'Group algebras of finite groups' -- subject(s): Finite groups, Group algebras
Is it possible to demonstrate that all deterministic finite automata (DFA) are in the complexity class P?
Yes, it is possible to demonstrate that all deterministic finite automata (DFA) are in the complexity class P.
What has the author Michael Aschbacher written?
Michael Aschbacher has written: '3-transposition groups' -- subject(s): Finite groups 'The classification of finite simple groups' -- subject(s): Group theory and generalizations -- Abstract finite groups -- Finite simple groups and their classification, Finite simple groups, Representations of groups, Group theory and generalizations -- Representation theory of groups -- Modular representations and characters 'Fusion systems in algebra and topology' -- subject(s): Combinatorial group theory, Topological groups, Algebraic topology 'The classification of quasithin groups' -- subject(s): Classification, Finite simple groups 'Finite group theory' -- subject(s): Finite groups
G is finite where the number of subgroups in g is finite?
Actually a stronger statement can be made:A group G is finite if and only if the number of its subgroups is finiteLet G be a group. If G is finite there is only a finite number of subsets of G, so clearlya finite number of subgroups.Now suppose G is infinite , let'ssuppose one element has infinite order. The this element generates an infinite cyclicgroup which in turn contains infinitely many subgroups.Now suppose all the subgroups have finite order Take some element of G and let it generate a finite group H. Now take another element of G not in H and let it generate a finite group I. Keep doing this by next picking an element of G not H or I. You can continue this way.
What is an affine group?
An affine group is the group of all affine transformations of a finite-dimensional vector space.
Is every finite abelian group is cyclic?
No, for instance the Klein group is finite and abelian but not cyclic. Even more groups can be found having this chariacteristic for instance Z9 x Z9 is abelian but not cyclic
How can the wave equation be solved using MATLAB?
To solve the wave equation using MATLAB, you can use numerical methods such as finite difference or finite element methods. These methods involve discretizing the wave equation into a system of equations that can be solved using MATLAB's built-in functions for solving differential equations. By specifying the initial conditions and boundary conditions of the wave equation, you can simulate the behavior of the wave over time using MATLAB.
What is finite and infinite cyclic group?
Normally, a cyclic group is defined as a set of numbers generated by repeated use of an operator on a single element which is called the generator and is denoted by g.If the operation is multiplicative then the elements are g0, g1, g2, ...Such a group may be finite or infinite. If for some integer k, gk = g0 then the cyclic group is finite, of order k. If there is no such k, then it is infinite - and is isomorphic to Z(integers) with the operation being addition.
