alternating group in a sentence
1) These were the second family of finite simple groups, after the alternating groups .
alternating collocations
2) The analogous notion for the symmetric group is the alternating group of even permutations.
3) Hilbert played a part in solving the problem for all symmetric and alternating groups .
alternating group example sentences
4) The linear group GL(4,2) has an exceptional isomorphism to the alternating group A8.5) Classification of alternating groups .
6) And in fact, the smallest simple non-cyclic group is A5, the alternating group over 5 elements.
7) The elements of the alternating group , called even permutations, are the products of even numbers of transpositions.
8) The semitones are separated as much as they can be, between alternating groups of three tones and two tones.
9) It was difficult to see that M24 actually existed, that its generators did not just generate the alternating group A24.
10) The basis of its prosody is a line of alternating groups of three or four syllables, which is probably the most natural rhythm to the language.
11) For example, in this way one proves that for , the alternating group A"n" is simple, i.e. does not admit any proper normal subgroups.
12) The symmetric group on an infinite set does not have an associated alternating group : not all elements can be written as a (finite) product of transpositions.
13) For , the alternating group A"n" is simple, and the induced quotient is the sign map: which is split by taking a transposition of two elements.
14) The kernel of this homomorphism, i.e. the set of all even permutations, is called the alternating group A"n".
15) These are more or less the groups of Lie type of odd characteristic of large rank, and alternating groups , together with some sporadic groups.
example sentences with alternating group
16) An alternating group of degree at least 5;17) The alternating group "A"n
18) Automorphisms of the symmetric and alternating groups
19) The cycle index of the alternating group in its natural action as a permutation group is
20) The even permutations produce the subgroup of permutation matrices of determinant +1, the order "n"!/2 alternating group .
21) Relation with alternating group
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