Many Frobenius complements have even order
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DOI: 10.1080/00927872.2021.1979025
Abstract: Frobenius groups play a significant role in the theory of finite groups, and, in particular, in the study of simple groups. For example it is not unusual in finite group theory that a proof analyzing… read more here.
Keywords: frobenius complements; order; theory; frobenius groups ... See more keywords
Finite Groups Close to Frobenius Groups
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DOI: 10.1134/s0037446619050045
Abstract: We study finite nonsoluble generalized Frobenius groups; i.e., the groups G with a proper nontrivial normal subgroup F such that each coset Fx of prime order p, as an element of the quotient group G/F,… read more here.
Keywords: finite groups; groups close; frobenius groups; group ... See more keywords