• # Mod-p group cohomology

• Referenced in 8 articles [sw08638]
• computes modular cohomology rings of finite groups. It yields minimal presentations of the cohomology rings ... compute the mod-p cohomology of various finite simple groups (for different primes p), including...
• # AutPGrp

• Referenced in 4 articles [sw08640]
• compute the automorphism group of a finite $p$-group. The underlying algorithm is a refinement ... MeatAxe for matrix groups and permutation group functions. We have compared our method ... performs all but the method designed for finite abelian groups. We note that our method...
• # ModIsom

• Referenced in 2 articles [sw08645]
• isomorphisms for modular group algebras of finite p-groups. The ModIsom package contains various methods ... automorphism group and to test isomorphis of such algebras over finite fields ... modular group algebras of finite p-groups, and it contains a nilpotent quotient algorithm...
• # Fwtree

• Referenced in 1 article [sw21201]
• Rossmann. Periodicities for graphs of p-groups beyond coclass. Contemp. Math ... rank, width and obliquity of a finite p-group, functions to investigate the graph ... finite p-groups of a given rank, width and obliquity, and a library of finite ... quotients of certain infinite pro-p-groups of finite rank, width and obliquity...
• # Cubefree

• Referenced in 8 articles [sw27977]
• p>=5 prime, up to conjugacy and RewriteAbsolutelyIrreducibleMatrixGroup(G) rewrites the absolutely irreducible matrix group ... over a finite field) over a minimal subfield...
• # Kaleido

• Referenced in 8 articles [sw05940]
• convex), and finitely many vertices which are equivalent under its symmetry group ... Longuet-Higgins and J. C. P. Miller [Phil. Trans. Roy. Soc. London...
• # CAS

• Referenced in 21 articles [sw07634]
• system for handling characters of finite groups, including irrationalities, and partially defined characters. The commands ... centre of the group algebra; kernel of a character; p-blocks; power maps; decomposition matrix...
• # SetTest

• Referenced in 2 articles [sw21047]
• group of i.i.d. random variables to a given continuous distribution, the input p-values ... Power of Optimal Signal Detection Methods in Finite Samples”, submitted...
• # GrpConst

• Referenced in 1 article [sw26617]
• finite groups. The GrpConst package contains methods to construct up to isomorphism the groups ... given order. The FrattiniExtensionMethod constructs all soluble groups of a given order. On request ... groups having a normal Sylow subgroup for orders of the type p...