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Find number of square permutations

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#permutations #permutation-cycles
277
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A theorem of Marshall Hall in Theory of Groups

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#group-theory #permutations
367
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Show: If some $x_i \neq x_1$ occurs as $\sigma(x_1)$ for a $\sigma \in$ Gal$ (E:F)$ then each $x_i\neq x_1$ occurs as $\sigma(x_1)$

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#abstract-algebra #group-theory #permutations #galois-theory #quintics
163
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frequency of a particular element of a sequence in its subsequences

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#permutations #combinations
241
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Can't prove this algebraically $\sum\limits_{i = 0}^n { n \choose i } \, !i = n! $

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#combinatorics #permutations #binomial-coefficients #factorial #derangements
252
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Non-unique representation of permutations.

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#abstract-algebra #permutations #permutation-cycles
585
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Why write permutations as disjoint cycles and transpositions?

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#abstract-algebra #permutations #permutation-cycles
88
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Permutation of n ,not all different things, taking r at a time

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#permutations
122
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Grouping n values to m categories preserving order

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#combinatorics #permutations
65
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Factorization and Squares

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#number-theory #permutations #combinations
71
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Number of ways a sequence can be arranged to meet the required condition

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#combinatorics #permutations #combinations
290
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Permutations Seating Arrangement in Group

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#permutations
228
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Hölder's theorem (Group Theory). Proof collection and applications

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#group-theory #reference-request #finite-groups #permutations #automorphism-group
1.1k
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Combinatorial proof of Negative Binomial Identity $(1+x)^{-n}= \sum_{k=0}^{\infty} (-1)^k \binom{n+k-1}{k} x^k$

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#combinatorics #permutations #binomial-coefficients #binomial-theorem
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permutations/combinations with repeated symbols

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#combinatorics #permutations #combinations

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