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Search: MSC category 20B25 ( Finite automorphism groups of algebraic, geometric, or combinatorial structures [See also 05Bxx, 12F10, 20G40, 20H30, 51-XX] )

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1. CMB 2004 (vol 47 pp. 161)

Alspach, Brian; Du, Shaofei
 Suborbit Structure of Permutation \$p\$-Groups and an Application to Cayley Digraph Isomorphism Let \$P\$ be a transitive permutation group of order \$p^m\$, \$p\$ an odd prime, containing a regular cyclic subgroup. The main result of this paper is a determination of the suborbits of \$P\$. The main result is used to give a simple proof of a recent result by J.~Morris on Cayley digraph isomorphisms. Categories:20B25, 05C60

2. CMB 2002 (vol 45 pp. 686)

Rauschning, Jan; Slodowy, Peter
 An Aspect of Icosahedral Symmetry We embed the moduli space \$Q\$ of 5 points on the projective line \$S_5\$-equivariantly into \$\mathbb{P} (V)\$, where \$V\$ is the 6-dimensional irreducible module of the symmetric group \$S_5\$. This module splits with respect to the icosahedral group \$A_5\$ into the two standard 3-dimensional representations. The resulting linear projections of \$Q\$ relate the action of \$A_5\$ on \$Q\$ to those on the regular icosahedron. Categories:14L24, 20B25