<i>p</i>-GROUPS WITH CYCLIC OR GENERALISED QUATERNION HUGHES SUBGROUPS: CLASSIFYING TIDY <i>p</i>-GROUPS
نویسندگان
چکیده
Abstract Let G be a p -group for some prime . Recall that the Hughes subgroup of is generated by all elements with order not equal to In this paper, we prove if cyclic, then has exponent or cyclic dihedral. We also generalised quaternion, must quaternion. With these results in hand, classify tidy -groups.
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ژورنال
عنوان ژورنال: Bulletin of The Australian Mathematical Society
سال: 2023
ISSN: ['0004-9727', '1755-1633']
DOI: https://doi.org/10.1017/s000497272300031x