Abstract
To investigate the interrelationship between the subgroup posets of groups, we introduce poset-blowdowns between subgroup posets, motivated by blowdowns in algebraic geometry. Poset-blowdowns are divided into three types (tame, wild, hybrid) depending on their combinatorial properties. We provide various criteria for determining types. Moreover we completely classify tame types for finite groups: they are associated with either generalized quaternion groups or cyclic groups of prime power orders.
Citation
Shigeru TAKAMURA. "Blowdown Maps between Subgroup Posets." Tokyo J. Math. 45 (2) 467 - 499, December 2022. https://doi.org/10.3836/tjm/1502179359
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