THE NUMBER OF PROFINITE GROUPS WITH A SPECIFIED SYLOW SUBGROUP

DOI10.1017/S1446788714000834zbMath1327.20033arXiv1301.2112OpenAlexW2162492798MaRDI QIDQ5500779

Colin D. Reid

Publication date: 10 August 2015

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.2112

zbMATH Keywords

subgroups of finite indexSylow subgroupsprofinite groupsfinitely generated pro-\(p\) groupsSylow theory

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Subgroup theorems; subgroup growth (20E07) Limits, profinite groups (20E18)

Cites Work

• Unnamed Item
• Transfer and Tate's theorem.
• Character-theoretic transfer
• Fusion in profinite groups
• On cohomology isomorphisms of groups.
• Solvability of groups of odd order
• Nilpotent quotient groups
• Constructive Sylow theorems for the classical groups.
• Beweis eines Satzes über diskrete Gruppen
• The Generalised Pro-Fitting Subgroup of a Profinite Group