Alternating groupPartitionsBase sizeFINITE CLASSICAL-GROUPSFIXED-POINT RATIOSGiven three positive integers n,a,b n,a,b with n=ab n=ab , we determine the base size of the symmetric group and of the alternating group of degree n n in their action on the set of partitions into b b parts ...
We investigate the endotrivial modules for the Schur covers of the symmetric and alternating groups and determine the structure of their group of endotrivial modules in all characteristics. We provide a full description of this group by generators and relations in all cases....
C. Bessenrodt, Irreducible p-Brauer characters of p-power degree for the symmetric and alternating groups, Arch. Math. 89 (2007) 1-9.BESSENRODT C.Irreducible p-brauer characters of p-power degree for the symmetric and alternating groups[J].Arch Math,2007,89:1-9....
Thisworkisconcernedwithsomebasicrandomwalksonthesymmetricgroup, S n ,andthealternatinggroup,A n .Specifically,weareinterestedinthefollowing models:(a)Randomtranspositionandtransposetopwithrandom;(b)walks generatedbytheuniformmeasureonaconjugacyclass,e.g.,4-cyclesork ...
GroupTheory SymmetricGroup Calling Sequence Parameters Description Examples Compatibility Calling Sequence SymmetricGroup( n ) SymmetricGroup( n , form = f ) Symm( n ) Symm( n , form = f ) Parameters n - algebraic ; understood to be a positive integer...
Those permutations which leave the product unaltered constitute a group of order n!/2, which is called the alternating group of degree n; it is a self-conjugate subgroup of the symmetric group. From Project Gutenberg In general, if the equation is given arbitrarily, the group will be the sy...
This paper explains connections between the theory of (complex) projective representations of the symmetric group S n and the theory of shifted tableaux. In this way the author obtains a proof of I. Schur's description of the irreducible projective characters, a projective analogue of induction ...
Let $\Psi$ be the projectivization (i.e., the set of one-dimensional vector subspaces) of a vector space of dimension $\ge 3$ over a field. Let $H$ be a closed (in the pointwise convergence topology) subgroup of the permutation group $\mathfrak{S}_{\Psi}
We calculate Frobenius-Schur indicator values for some fusion categories obtained from inclusions of finite groups, where more concretelyGis symmetric or alternating, andHis a symmetric, alternating or cyclic group. Our work is strongly related to earlier results by Kashina-Mason-Montgomery, Jedwab-Mont...
Number of PagesX, 186 TopicsGroup Theory and Generalizations Publish with us Access this book eBook EUR 18.18 Price includes VAT (China (P.R.)) Softcover Book EUR 24.95 Tax calculation will be finalised at checkout Other ways to access